Question

$(2a + 3b) {}^{2} -(3a - 2b) {}^{2}$
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Answer 1

Answer:

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

4a^2+9b^2+12ab-9a^2-4b^2+12ab

-5a^2+5b^2+24ab

-5(a^2+b^2)24ab

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Answer 2

Answer:

${(2a + 3b)}^{2} - {(3a - 2b)}^{2}$

$({(2a)}^{2}+2.2a.3b+{(3b)}^{2}) - (( {3a)}^{2} - 2.3a.2b + {(2b)}^{2} )$

$({4a}^{2}+12ab+{9b}^{2}) - (9 {a}^{2} - 12ab + {4b}^{2} )$

${4a}^{2}+12ab+{9b}^{2}-{9a}^{2} + 12ab - {4b}^{2}$

${ - 5a}^{2} + {5b}^{2} + 24ab$

$-5 ({a}^2-{b}^2)+24ab$

$-5 [(a+b)(a-b)]+24ab$