Addition
Simplify
(-3x^3+10x-7)+(3x^3-4x^2-2x+12)
-4x^2+8x+5
Subtract
(9x^2-4x+15)
from
(5x^2-8x-3)
-4x^2-4x-18
Multiply
(2x+5)(2x-5)
using a special product pattern.
4x^2-25
What is the formula pattern for expanding
(a+b)^3
a^3 + 3a^2b + 3ab^2 + b^3
What is the missing number in the row of Pascal's Triangle used for exponent 4: 1, 4, ___, 4, 1?
6
Simplify
(4x^3-x^2+7x-2)+(-4x^3+5x^2-10x+8)
4x^2-3x+6
Perform subtraction:
(10x^3-3x+14)-(6x^3+5x^2-8x+20)
4x^3-5x^2+5x-6
Expand
(3x-4)^2
using a special product pattern.
9x^2-24x+16
Expand
(x+4)^3
using binomial expansion.
x^3+12x^2+48x+64
What sequence of coefficients from Pascal's Triangle is used to expand a cubic binomial
(a+b)^3
1, 3, 3, 1
Add
(5x^3+3x^2-6x)+(-2x^3-7x^2+9x-4)
3x^3-4x^2+3x-4
Subtract
(6x^2-9x+4)
from
(2x^3-3x^2+5x-7)
2x^3-9x^2+14x-11
Multiply
(3x+2y)(3x-2y)
using a special product pattern.
9x^2-4y^2
Expand
(2x-3)^3
using binomial expansion.
8x^3-36x^2+54x-27
Using Pascal's Triangle, what is the coefficient of the middle term when expanding
(x+y)^4
6
Find the sum of
(4x^3-7x^2+2x-5)
and
(3x^3+5x^2-8x+11)
7x^3-2x^2-6x+6
Subtract
(4x^3-8x^2+10)
from
(x^3-2x^2+6x-1)
-3x^3+6x^2+6x-11
Multiply
(x+2)(x-2)(x^2+4)
x^4-16
Multiply
(2x-1)(x+4)(x-3)
2x^3+x^2-25x+12
Using Pascal's Triangle coefficients (1, 3, 3, 1), what is the second term in the expansion of
(x+2)^3
6x^2
Add
(7x^4-3x^3+2x-1)+(2x^3-5x^2-6x+9)
7x^4-x^3-5x^2-4x+8
Subtract
(3x^4-6x^2+8)
from
(x^4-x^3+2x^2-5)
-2x^4-x^3+8x^2-13
Multiply
(x-3)(x^2+3x+9)
using a special product pattern.
x^3-27
Subtract
(x^3-7x^2+12x)
from
(4x^3+2x^2-5x-8)
3x^3+9x^2-17x-8
Use Pascal's Triangle coefficients (1, 4, 6, 4, 1) to expand
(x+1)^4
x^4 + 4x^3 + 6x^2 + 4x + 1