Advertisements
Advertisements
Question
Factorise the following:
(y2 - 3y)(y2 - 3y + 7) + 10
Advertisements
Solution
(y2 - 3y)(y2 - 3y + 7) + 10
= a(a + 7) + 10 [taking (y2 - 3y) = a]
= a2 + 7a + 10
= a2 + 5a + 2a + 10
= a(a + 5) + 2(a + 5)
= (a + 5)(a + 2)
= (y2 - 3y + 5)(y2 - 3y + 2)
= (y2 - 3y + 5)(y2 - 2y - y + 2)
= (y2 - 3y + 5)[y(y - 2) - 1(y - 2)]
= (y2 - 3y + 5)[(y - 2)(y - 1)]
= (y - 1)(y - 2)(y2 - 3y + 5).
APPEARS IN
RELATED QUESTIONS
Factorise : a2 + 10a + 24
Factorise : 3 - a (4 + 7a)
Factorise: 5 - (3a2 - 2a) (6 - 3a2 + 2a)
Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
3x2 + 4x - 10
Factorise the following by splitting the middle term:
15a2 - 14a - 16
Factorise the following by splitting the middle term:
7x2 + 40x - 12
Factorise the following:
`2sqrt(5)x^2 - 7x - 3sqrt(5)`
Factorise the following:
12 - (y + y2)(8 - y - y2)
Factorise the following:
(t2 - t)(4t2 - 4t - 5) - 6
Find the factors of 2y2 - 4y - 30.
