Simplify $5a^2 - (3a - 2b)^2$ . Answer ...

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Worked solution

1. Expand the square of the binomial.

$(3a-2b)^2=(3a)^2-2(3a)(2b)+(2b)^2=9a^2-12ab+4b^2$

2. Substitute the expansion and simplify by collecting like terms.

$5a^2-(3a-2b)^2=5a^2-(9a^2-12ab+4b^2)$$$$=5a^2-9a^2+12ab-4b^2$$$$=-4a^2+12ab-4b^2$

Answer

$-4a^2+12ab-4b^2$

AI analysis — may contain mistakes.

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