Advertisements
Advertisements
Question
Factorise the following:
7(x - 2)2 - 13(x - 2) - 2
Solution
7(x - 2)2 - 13(x - 2) - 2
= 7(x - 2)2 - 14(x - 2) + (x - 2) - 2
= 7(x - 2)(x - 2 - 2) + 1(x - 2 - 2)
= 7(x - 2)(x - 4) + 1(x - 4)
= (x - 4)[7(x - 2) + 1]
= (x - 4)(7x - 14 + 1)
= (x - 4)(7x - 13).
APPEARS IN
RELATED QUESTIONS
Factorise.
x2 + 9x + 18
Factorise.
2x2 + x − 45
Give possible expressions for the length and the breadth of the rectangle whose area is 12x2 - 35x + 25
Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
2x2 + 2x - 75
Factorise the following by splitting the middle term:
15a2 - 14a - 16
Factorise the following:
9x2 - 22xy + 8y2
Factorise the following:
(t2 - t)(4t2 - 4t - 5) - 6
Factorise the following:
`2x^2 + x/(6) - 1`
Factorise the following:
2a3 + 5a2b - 12ab2
Find the factors of 2y2 - 4y - 30.
