What is factor p^2r^2-100x^2 ?

The solution to factor p^2r^2-100x^2 is (pr+10x)(pr-10x)

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factor p^2r^2-100x^2

factor

p^{2} r^{2} - 100 x^{2}

(p r + 10 x) (p r - 10 x)

Solution steps

p^{2} r^{2} - 100 x^{2}

p^{2} r^{2} = (p r)^{2}

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

= (p r)^{2} - (10 x)^{2}

Apply Difference of Two Squares Formula:

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

(p r)^{2} - (10 x)^{2} = (p r + 10 x) (p r - 10 x)

= (p r + 10 x) (p r - 10 x)

25 x^{2} (2 x^{2} + 3) - (2 x^{2} + 3)

x^{2} - 11 x + 30 < 0

y^{2} + 5 y - 7 y - 35

∣ x + 1 ∣ \geq 9

x^{4} - 2 x^{3} - x^{2} + 8 x - 12

What is factor p^2r^2-100x^2 ?
The solution to factor p^2r^2-100x^2 is (pr+10x)(pr-10x)