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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:
$\big(\text{x}+\frac{\text{x}^2}{2}\big)^2$
✓

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.
$\big(\text{x}+\frac{\text{x}^2}{2}\big)^2$
$=\text{x}^2+2\text{x}\big(\frac{\text{x}^2}{2}\big)+\big(\frac{\text{x}^2}{2})^2$
$=\text{x}^2+\text{x}^3+\frac{\text{x}^4}{4}$

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