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*❀