Question

X - 25 is a factor of 4x^2 -100?

Answer 1

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Hi my lil bunny!

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Answer : $\boxed{(2x + 5 ) (2x - 5)}$

$4x^2-25$

Rewrite $4x^2$ as $(2^x)^2$.

$(2x)^2 - 5^2$

Rewrite $(2x)^2$ as $5^2$.

$(2x)^2 - 5^2$

Since both terms are perfect squares, factor using the difference of squares formula, $a^2 - b^2 = ( a + b ) ( a - b )$ where $a = 2x$ and $b = 5$.

$(2x + 5 ) (2x - 5)$

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Have a great day/night!

❀*May*❀