What is factor 100x^2-9y^2 ?

The solution to factor 100x^2-9y^2 is (10x+3y)(10x-3y)

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factor 100x^2-9y^2

factor

100 x^{2} - 9 y^{2}

(10 x + 3 y) (10 x - 3 y)

Solution steps

100 x^{2} - 9 y^{2}

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

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

= (10 x)^{2} - (3 y)^{2}

Apply Difference of Two Squares Formula:

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

(10 x)^{2} - (3 y)^{2} = (10 x + 3 y) (10 x - 3 y)

= (10 x + 3 y) (10 x - 3 y)

(x - 8)^{2} = - 2

100 b^{2} - 90 b + 20

0 \geq x \geq 10

\frac{1}{2} + \frac{3}{2}

3 - 2

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