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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities3 Marks
Question
Multiply:
$(0.8a - 0.5b)$ by $(1.5a - 3b)$
✓

Answer

To multiply, we will use distributive law as follows:
$ (0.8 a-0.5 b)(1.5 a-3 b) $
$ =0.8 a(1.5 a-3 b-0.5 b(1.5 a-3 b) $
$ =2 a^2-2.4 a b-0.75 a b+1.5 b^2 $
$ =1.2 a^2-3.15 a b+1.5 b^2 $
Thus, the answer is $1.2 a^2-3.15 a b+1.5 b^2 .$

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