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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
Question
Factorize the using appropriate identity: $9{x^2} + 6xy + {y^2}$
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Answer

$9{x^2} + 6xy + {y^2}{\text{ = }}{\left( {3x} \right)^2} + 2 \times 3x \times y + {\left( y \right)^2}$
We can observe that we can apply the identity ${\left( {a + b} \right)^2} = {a^2} + 2ab + {b^2}$
$ \Rightarrow {\left( {3x} \right)^2} + 2 \times 3x \times y + {\left( y \right)^2} = {\left( {3x + y} \right)^2}.$

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