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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities2 Marks
Question
Multiply: $ \left(2 x^2-1\right)\left(4 x^3+5 x^2\right) $
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Answer

To multiply, we will use distributive law as follows:
$ \left(2 x^2-1\right)\left(4 x^3+5 x^2\right) $
$ =2 x^2\left(4 x^3+5 x^2\right)-1\left(4 x^3+5 x^2\right)$
$ =8 x^5+10 x^4-4 x^3-5 x^2 $
 Thus, the answer is $ =8 x^5+10 x^4-4 x^3-5 x^2 $.

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