What is factor p^2+7pq-18q^2 ?

The solution to factor p^2+7pq-18q^2 is (p-2q)(p+9q)

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factor p^2+7pq-18q^2

factor

p^{2} + 7 pq - 18 q^{2}

(p - 2 q) (p + 9 q)

Solution steps

p^{2} + 7 pq - 18 q^{2}

Break the expression into groups

= (p^{2} - 2 pq) + (9 pq - 18 q^{2})

Factor out

p

from

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

Factor out

9 q

from

9 pq - 18 q^{2} : 9 q (p - 2 q)

= p (p - 2 q) + 9 q (p - 2 q)

Factor out common term

p - 2 q

= (p - 2 q) (p + 9 q)

7 x - 1 > 3 x + 7

- 8 \geq 1.6 m

9 y^{2} - (2 x - y)^{2}

5 x^{2} + 1 = 37

x^{7} - x^{3}

What is factor p^2+7pq-18q^2 ?
The solution to factor p^2+7pq-18q^2 is (p-2q)(p+9q)