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Identities — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHSIdentities2 Marks
Question
Find the square of $2 m^2-\frac{2}{3} n^2$
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Answer

$ 2 m^2-\frac{2}{3} n^2$
$ \left(2 m^2-\frac{2}{3} n^2\right)^2$
$=\left(2 m^2\right)^2+\left(\frac{2}{3} n^2\right)^2-2 \times 2 m^2 \times \frac{2}{3} n^2$
$ =4 m^4+\frac{4}{9} n^4-\frac{8}{3} m^2 n^2$
$ =4 m^4-\frac{8}{3} m^2 n^2+\frac{4}{9} n^2$

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