Answer:
p² -16pq + 36q²
Step-by-step explanation:
Given
(- p + 6q)²
= (- p + 6q)(-
p + 6q)
Each term in the second factor is multiplied by each term in the first factor, that is
- p(-
p + 6q) + 6q(-
p + 6q)
= p² - 8pq - 8pq + 36q² ← collect like terms
= p² - 16pq + 36q²
We are given :
Step 1: factor the part inside square root
The function given inside square root is of quadratic form.
So let us try to factorise it using AC method.
Here A*C = 4*25 = 100
so we have to find factors of 100 that add up to give -20.
the two factors are -10 and -10.
Rewriting the function :
=
=
=
Step 2:
Now we take square root of the factorised form
=
Answer : (2x-5)