Factorisation
ad - ac + bd - bc
(a+b)(d-c)
It is the result when the smaller number is subtracted from the larger number.
Difference
It is a product involving numbers and/or pronumerals.
What is term?
Evaluate 20 x 10-5 as a fraction in the simplest form.
1/5000
What is the quotient of 409 divided by 6?
68
c2 - 24cd + 143d2
(c-13d)(c-11d)
Find half the product of 5 and 12.
30
It is usually being used to factorize four or more terms, the expression can be splinted into groups, factor each group in turn, and then factor the whole expression by taking out a common factor.
When to use Factoring by Grouping?
Write in index form:
1/256 with 4 as the base number
4-4
Multiply (4x+7) by itself
16x2+56x+49
20 - 9x - 20x2
(4-5x)(4x+5)
The sum of three numbers is 300. Two of the numbers are equal, and the third number is 120. Find the three numbers.
90, 90, 120
(1 + a)(1 - a) is one of the special binomial products of the expression ________. This type of expression is also known as Difference of _________.
1 - a2 ; Two Squares
Give an example for the positive improper fraction.
Anything in the form of a/b where a > b.
A number is divided by 15. The quotient is 7 and the remainder is 3. Find the number.
108
q2 + 2aq + a2 - b2q2
(q+a+bq)(q+a-bq)
List the common factors of 39 and 78.
1, 3, 13, 39
Take the sum of 2a - 3b - 4c and -4a + 7b - 5c from the sum of 4c - 2b and 5b - 2a - 2c.
11c - b
Denominator is the expression/term/number that we write ______ the numerator.
Below/ under
Divide the product of (-3x7y5)4 and (-2xy6)3 by (-6x3y8)2.
-18x25y22
x4 - 256
(x-4)(x+4)(x2+16)
When a _______ divided by a _______ gives a quotient with the remainder is 0, then the ______ is a factor of the ______.
Dividend; Divisor; Divisor; Dividend
Expand and simplify:
(x + y - z)(x - y + z)
x2 - y2 - z2 + 2yz
Index is also known as _____ and ______ .
Power; exponent
If X = 2b + 3c - 5d and Y = 4d - 7c - b, take X - Y from X + Y.
8d - 14c - 2b