Difference of two square
x2 - 16
The answer is (x + 4)(x - 4), 16 is a perfect square so you try to find its square root since 4 is its square root the answer is (x + 4)(x - 4)
8n3 + 16n5
The answer is 8n3(1 + 2n2), The first step is find the GCF of 8n3 + 16n2 the GCF is 8 and the next step to solve the problem is find the lowest exponent which is 3 so it is 83 and if there is a same variable copy it so it is 8n3 now divide the numbers 8n^3/8n^3 = 1 you also minus the exponent that's why the answer is 1 so 8n3(1 + _) if its plus its plus now divide the other number 16n5/8n3 = 2n2, Thats why the answer is 8n3(1 + 2n2)
x2 + 5x + 4
The answer is (x+1)(x+4), When we use berry method the we put a and c ontop of the x and b down, A is x2, B is 5x, and 4 is c we know what a b and c are because A is ur number that has a variable and the highest exponent and b is always beside the number with exponent and c doesnt have any variable, The second step is collect their value or the numbers it self with no exponent and variable the value of a is 1 and the value of c is 4 and the value of b is 5 now you got to multiply the a and c or 1 and 4 so 1 . 4 = 4 and now you need to get factors of the product after a and c also put your 4 on top of the x and find the correct answer 1 + 4 or 4 + 1, 1 + 4 and both of them is the correct answer because 4 +1 is still 5 so (x +1)(x +4) or (x +4)(x +1)
x2 - 18x +81
The answer is (x-9)2, First you need to find the square root of x2 which is x second to find the square root of 81 which is 9 now you got to multiply x and 9 the answer is 9x now multiply it by 2 the answer is 18x that's why the answer is (x-9)2
125x3 + 216
The answer is (5x + 6)(25x2 - 30x + 36), First we have to cube the first 2 terms (125x^3 = 5x 216 = 6) then we have to square the cubed version of the 2 terms in order to get the a2 and b2 of the formula (a2 = 25x2, b2 = 36) after that we need to get our middle term, in order to do that we have to multiply our given term's cubed version, which is 5x and 6, multiply them then you get your middle term (5x . 6 = 30x). After all of that you get your answer (5x + 6)(25x2 - 30x + 36)
x2 - 225
The answer is (x + 15)(x - 15), 225 is a perfect square so you try to find its square root since 15 is its square root the answer is (x + 15)(x -15)
60n2 - 30n
The answer is 30n(2n - 1), The first step is find the GCF of 60n2 - 30n the GCF is 30 and the next step to solve the problem is find the lowest exponent which is 1 so it is 30 and if there is a same variable copy it so it is 30n now divide the numbers 60n2/30n = 2n you also minus the exponent that's why the answer is 2n so 30n(2n - _) if its minus its minus now divide the other number 30n/30n = 1, And that's why the answer is 30n(2n - 1 )
x2 + 11x +10
The answer is (x+1)(x+10) or , When we use berry method the we put a and c on top of the x and b down, A is x2, B is 11x, and 10 is c we know what a b and c are because A is your number that has a variable and the highest exponent and b is always beside the number with exponent and c doesn't have any variable, The second step is collect their value or the numbers it self with no exponent and variable the value of a is 1 and the value of c is 10 and the value of b is 5 now you got to multiply the a and c or 1 and 10 so 1 . 10 = 10 and now you need to get factors of the product after a and c also put your 10 on top of the x and find the correct answer 1 + 10 or 10 + 1, 1 + 10 and both of them is the correct answer because 10 + 1 is still 11 so (x +1)(x +10) or (x +10)(x +1)
x2 - 12x + 36
The answer is (x-6)2, First you need to find the square root of x2 which is x second to find the square root of 36 which is 6 now you got to multiply x and 6 the answer is 6x now multiply it by 2 the answer is 12x that's why the answer is (x-6)2
x2 - 289
The answer is (x + 17)(x - 17), 289 is a perfect square so you try to find its square root since 17 is its square root the answer is (x + 17)(x -17)
81n4 - 36n3
The answer is 9(9n - 4), The first step is find the GCF of 81n4 - 36n3 the GCF is 9 and the next step to solve the problem is find the lowest exponent which is 3 so it is 93 and if there is a same variable copy it so it is 9n3 now divide the numbers 81n4/9n3 = 9n you also minus the exponent that's why the answer is 9n so 9n3(9n - _) if its minus its minus now divide the other number 36n3/9n3 = 4, And thats why the answer is 9n3(9n - 4 )
x2 +18x +17
The answer is (x+1)(x+17) , When we use berry method the we put a and c on top of the x and b down, A is x2, B is 18x, and 17 is c we know what a b and c are because A is your number that has a variable and the highest exponent and b is always beside the number with exponent and c doesn't have any variable, The second step is collect their value or the numbers it self with no exponent and variable the value of a is 1 and the value of c is 17 and the value of b is 18 now you got to multiply the a and c or 1 and 17 so 1 . 17 = 17 and now you need to get factors of the product after a and c also put your 17 on top of the x and find the correct answer 1 + 17 or 17 + 1, 1 + 17 and both of them is the correct answer because 17 + 1 is still 18 so (x +1)(x +17) or (x +17)(x +1)
x2 - 49
The answer is (x + 7)(x - 7), 49 is a perfect square so you try to find its square root since 7 is its square root the answer is (x + 7)(x - 7)
40n2 + 32n3
The answer is 8n2(5+ 4n), The first step is find the GCF of 40n2 + 32n3 the GCF is 8 and the next step to solve the problem is find the lowest exponent which is 2 so it is 82 and if there is a same variable copy it so it is 8n2 now divide the numbers 40n2/8n2 = 5 you also minus the exponent that's why the answer is 5 so 8n2(5 + _) if its plus its plus now divide the other number 32n3/8n2 = 4n, And that's why the answer is 8n2(5 + 4n )
x2 - 400
The answer is (x + 20)(x - 20),400 is a perfect square so you try to find its square root since 20 is its square root the answer is (x + 20)(x - 20)