
Show that (2x −1)^2 − (x − 3)^2 can be simplified to (x + 2)(3x − 4).
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To simplify `(2x1)^2(x3)^2` ,
apply the formula `a^2b^2=(ab)(a+b)` . So, we get:
`(2x1)^2(x3)^2`
`={2x1(x3)}(2x1+x3)`
`=(2x1x+3)(2x1+x3)`
`=(x+2)(3x4)`
Therefore, the simplified form of `(2x1)^2(x3)^2` is `(x+2)(3x4)` .
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