What is factor p^2+2pq-15q^2 ?

The solution to factor p^2+2pq-15q^2 is (p-3q)(p+5q)

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factor p^2+2pq-15q^2

factor

p^{2} + 2 pq - 15 q^{2}

(p - 3 q) (p + 5 q)

Solution steps

p^{2} + 2 pq - 15 q^{2}

Break the expression into groups

= (p^{2} - 3 pq) + (5 pq - 15 q^{2})

Factor out

p

from

p^{2} - 3 pq : p (p - 3 q)

Factor out

5 q

from

5 pq - 15 q^{2} : 5 q (p - 3 q)

= p (p - 3 q) + 5 q (p - 3 q)

Factor out common term

p - 3 q

= (p - 3 q) (p + 5 q)

- \frac{1}{2} + \frac{5}{8}

3 (x + 4)^{2} = - 27

- (x + 5) - 6 x \leq 2 x - 5

y^{2} - 10 y + 25

2 x^{3} + 14 x^{2} + 10 x

What is factor p^2+2pq-15q^2 ?
The solution to factor p^2+2pq-15q^2 is (p-3q)(p+5q)