Question 3(iv)
Find the following squares by using identities:
${(\frac{2}{3} m + \frac{3}{2} n)}^{2}$

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Solution

${(\frac{2}{3} m + \frac{3}{2} n)}^{2} = {(\frac{2}{3} m)}^{2} + 2 \times \frac{2}{3} m \times \frac{3}{2} n + {(\frac{3}{2} n)}^{2}$
$[U s i n g i d e n t i t y (a + b)^{2} = a^{2} + 2 a b + b^{2}]$
$= \frac{4}{9} m^{2} + 2 m n + \frac{9}{4} n^{2}$

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{(\frac{2}{3} m + \frac{3}{2} n)}^{2}

{(\frac{2}{3} m + \frac{3}{2} n)}^{2}

Question 3(iii)
Find the following squares by using identities:
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Question 3(v)
Find the following squares by using identities:
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(x y + 3 z)^{2}

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