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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities3 Marks
Question
Multiply:
$ \left(3 x^2+y^2\right) \text { by }\left(2 x^2+3 y^2\right) $
✓

Answer

To multiply, we will use distributive law as follows:
$ \left(3 x^2+y^2\right) \text { by }\left(2 x^2+3 y^2\right) $
$ =3 x^2\left(2 x^2+3 y^2\right)+y^2\left(2 x^2+3 y^2\right) $
$ =6 x^4+9 x^2 y^2+2 x^2 y^2+3 y^4 $
$ =6 x^4+11 x^2 y^2+3 y^4 $
Thus, the answer is $6 x^4+11 x^2 y^2+3 y^4 $.

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