What is factor p^2-9q^2+16p+64 ?

The solution to factor p^2-9q^2+16p+64 is (p+8+3q)(p+8-3q)

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factor p^2-9q^2+16p+64

factor

p^{2} - 9 q^{2} + 16 p + 64

(p + 8 + 3 q) (p + 8 - 3 q)

Solution steps

p^{2} - 9 q^{2} + 16 p + 64

Factor

p^{2} + 16 p + 64 : (p + 8)^{2}

= (p + 8)^{2} - 9 q^{2}

Simplify

9 q^{2} : (3 q)^{2}

= (p + 8)^{2} - (3 q)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(p + 8)^{2} - (3 q)^{2} = ((p + 8) + 3 q) ((p + 8) - 3 q)

= ((p + 8) + 3 q) ((p + 8) - 3 q)

Apply rule:

(a) = a

(p + 8) = p + 8

= (p + 8 + 3 q) (p + 8 - 3 q)

24 x^{2} + 20 x

\frac{b - 9}{( 4 - 7 )}

f (x - 3) - 4

(5 u^{4}) (4 x - 7)

20 x y + (36 x + 40 y)

What is factor p^2-9q^2+16p+64 ?
The solution to factor p^2-9q^2+16p+64 is (p+8+3q)(p+8-3q)