What is factor p^2-pq-20q^2 ?

The solution to factor p^2-pq-20q^2 is (p+4q)(p-5q)

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factor p^2-pq-20q^2

factor

p^{2} - pq - 20 q^{2}

(p + 4 q) (p - 5 q)

Solution steps

p^{2} - pq - 20 q^{2}

Break the expression into groups

= (p^{2} + 4 pq) + (- 5 pq - 20 q^{2})

Factor out

p

from

p^{2} + 4 pq : p (p + 4 q)

Factor out

- 5 q

from

- 5 pq - 20 q^{2} : - 5 q (p + 4 q)

= p (p + 4 q) - 5 q (p + 4 q)

Factor out common term

p + 4 q

= (p + 4 q) (p - 5 q)

7 x - 25 = - 88

100 x^{2} - 4 y^{2}

∣ 2 x - 1 ∣ > x

2 x^{2} + 10 x + 5 = 0

(\frac{x + 1}{2})^{2}

What is factor p^2-pq-20q^2 ?
The solution to factor p^2-pq-20q^2 is (p+4q)(p-5q)