What is factor 100p^2-9q^2 ?

The solution to factor 100p^2-9q^2 is (10p+3q)(10p-3q)

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factor 100p^2-9q^2

factor

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

(10 p + 3 q) (10 p - 3 q)

Solution steps

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

100 p^{2} = (10 p)^{2}

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

= (10 p)^{2} - (3 q)^{2}

Apply Difference of Two Squares Formula:

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

(10 p)^{2} - (3 q)^{2} = (10 p + 3 q) (10 p - 3 q)

= (10 p + 3 q) (10 p - 3 q)

(1)^{3}

8 x (x - 3)^{4} + 16 x^{2} (x - 3)^{3}

d^{2} + 10 d + 9

\frac{3}{4} x - \frac{1}{2} = - 2

\frac{1}{2} - \frac{1}{10}

What is factor 100p^2-9q^2 ?
The solution to factor 100p^2-9q^2 is (10p+3q)(10p-3q)