What is factor 405x^2-87882^2 ?

The solution to factor 405x^2-87882^2 is 9(3sqrt(5)x+29294)(3sqrt(5)x-29294)

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factor 405x^2-87882^2

factor

405 x^{2} - 8788 2^{2}

9 (35 x + 29294) (35 x - 29294)

Solution steps

405 x^{2} - 8788 2^{2}

Rewrite

405 x^{2} - 8788 2^{2}

(405 x)^{2} - 8788 2^{2}

= (405 x)^{2} - 8788 2^{2}

Apply Difference of Two Squares Formula:

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

(405 x)^{2} - 8788 2^{2} = (405 x + 87882) (405 x - 87882)

= (405 x + 87882) (405 x - 87882)

Refine

= (95 x + 87882) (95 x - 87882)

Factor

95 x + 87882 : 3 (3 x 5 + 29294)

= 3 (35 x + 29294) (95 x - 87882)

Factor

95 x - 87882 : 3 (3 x 5 - 29294)

= 3 (3 x 5 + 29294) \cdot 3 (3 x 5 - 29294)

Refine

= 9 (35 x + 29294) (35 x - 29294)

4.8 x^{2} + (- 7) x + (- 7.7)

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

a x + 3 b x + 2 a y + 6 b y

y^{8} - 16 y^{4} + 64

3 ab x - 2 ab y + 9 c x - 6 cy

What is factor 405x^2-87882^2 ?
The solution to factor 405x^2-87882^2 is 9(3sqrt(5)x+29294)(3sqrt(5)x-29294)