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

The solution to factor 9p^2-16q^2 is (3p+4q)(3p-4q)

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factor 9p^2-16q^2

factor

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

(3 p + 4 q) (3 p - 4 q)

Solution steps

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

9 p^{2} = (3 p)^{2}

16 q^{2} = (4 q)^{2}

= (3 p)^{2} - (4 q)^{2}

Apply Difference of Two Squares Formula:

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

(3 p)^{2} - (4 q)^{2} = (3 p + 4 q) (3 p - 4 q)

= (3 p + 4 q) (3 p - 4 q)

\frac{( 5 ^{n + 3} - 6 \cdot 5 ^{n + 1} )}{( 9 \cdot 5 ^{n} - 2 ^{2} \cdot 5 ^{n} )}

(x + y)^{3} - (x^{3} + y^{3})

- 3 (4 x + (- 2) y) - 2 (x + 3 y) - 2 (2 x + 6 y)

(x^{4})^{2} \cdot (x^{4})^{- 2}

(3 x - 1)^{3} + (x - 4)^{3}