Question

the expression 16(x-y)(4a-b)+12(x-y)(a+4b) can be factorised as

Answer 1

Step-by-step explanation:

We solve, by inspection, α + β = −7 and αβ = 12.

The solutions are −4 and −3. Hence

x2 − 7x + 12 = (x − 4)(x − 3).

b

We solve, by inspection, α + β = 2 and αβ = −15. The solutions are 5 and −3. Hence

x2 + 2x − 15 = (x + 5)(x − 3).

c

We solve, by inspection, α + β = 6 and αβ = 9. The solutions are 3 and 3. Hence

x2 + 6x + 9 = (x + 3)(x + 3) = (x + 3)2.

Note that in c the answer is a perfect square.

Answer 2

Answer:

4(x-y)(19a+8b) this is your answer