What is factor 100x^4-49y^2 ?

The solution to factor 100x^4-49y^2 is (10x^2+7y)(10x^2-7y)

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factor 100x^4-49y^2

factor

100 x^{4} - 49 y^{2}

(10 x^{2} + 7 y) (10 x^{2} - 7 y)

Solution steps

100 x^{4} - 49 y^{2}

100 x^{4} = (10 x^{2})^{2}

49 y^{2} = (7 y)^{2}

= (10 x^{2})^{2} - (7 y)^{2}

Apply Difference of Two Squares Formula:

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

(10 x^{2})^{2} - (7 y)^{2} = (10 x^{2} + 7 y) (10 x^{2} - 7 y)

= (10 x^{2} + 7 y) (10 x^{2} - 7 y)

121 y^{2} - x^{4}

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

5 a^{2} + b - 2 a^{2}

\frac{3 t - 12}{t ^{2} - 16}

- 0.3 (3 g - 0.2) + 0.4 (- 0.8 g + 10)

What is factor 100x^4-49y^2 ?
The solution to factor 100x^4-49y^2 is (10x^2+7y)(10x^2-7y)