Factorization - JSS3 Mathematics Past Questions and Answers - page 1
What is the factored form of 4𝑥+4𝑦?
4(𝑥+𝑦)
2(𝑥+𝑦)
2(𝑥−𝑦)
4(𝑥−𝑦)
Factorize the expression 5𝑚+3𝑛+5𝑛+𝑚𝑛
5(𝑚+𝑛)+3𝑛
5(𝑚+𝑛)+𝑚𝑛
5(𝑚+𝑛)+8𝑛
5(𝑚+𝑛)+3𝑚𝑛
What is the factorized form of 16𝑥^2−25?
(4𝑥−5)^2
(4𝑥+5)^2
(4𝑥−5)(4𝑥+5)
(4𝑥+5)(4𝑥−5)
Factorize the expression 𝑥^2−4𝑥𝑦+𝑦^2
(𝑥−𝑦)^2
(𝑥+𝑦)^2
(𝑥−𝑦)(𝑥+𝑦)
(𝑥+𝑦)(𝑥−𝑦)
What is the factored form of 9𝑎2−6𝑎𝑏−𝑏2?
(3𝑎−𝑏)^2
(3𝑎+𝑏)^2
(3𝑎−𝑏)(3𝑎+𝑏)
(3𝑎+𝑏)(3𝑎−𝑏)
Tom's garden has a length 𝐿 meters and a width 𝑊 meters. What is the total length of the hedge needed, expressed in terms of 𝐿 and 𝑊?
𝐿+𝑊
2𝐿+2𝑊
2(𝐿+𝑊)
𝐿+2𝑊
Factorize the expression 4𝑚+2𝑛+4𝑛+2𝑚𝑛
Combine like terms first:
4𝑚+2𝑛+4𝑛+2𝑚𝑛
=4𝑚+6𝑛+2𝑚𝑛
Factor out common factors:
4𝑚+6𝑛+2𝑚𝑛
=2(2𝑚+3𝑛+𝑚𝑛)
Factorize the expression 𝑥2−9𝑦^2
Recognize this as a difference of squares:
𝑥2−9𝑦^2
=(𝑥−3𝑦)(𝑥+3𝑦)
Factorize the expression 𝑎^2+6𝑎𝑏+9𝑏^2
This expression is a perfect square trinomial:
𝑎^2+6𝑎𝑏+9𝑏^2
=(𝑎+3𝑏)^2