Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities1 Mark
Question
Write the following squares of binomials as trinomials:
$\left(a^2 b-b c^2\right)^2$
✓
Answer
We will use the identities $(a+b)^2=a^2+2 a b+b^2$ and $(a-b)^2=a^2-2 a b+b^2$ to convert the squares of binomials as trinomials.
$\left(a^2 b-b c^2\right)^2$
$=\left(a^2 b\right)^2-2\left(a^2 b\right)\left(b c^2\right)+\left(b c^2\right)^2$
$=a^4 b^2-2 a^2 b^2 c^2+b^2 c^4$
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