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Linear Equations in One Variable — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsLinear Equations in One Variable2 Marks
Question
Simplify:$(3 a+4)(2 a-3)+(5 a-4)(a+2)$.
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Answer

We have:
$(3 a+4)(2 a-3)+(5 a-4)(a+2)$
$=\{3 a(2 a-3)+4(2 a-3)\}+\{5 a(a+2)-4(a+2)\}$
$=\left(6 a^2-9 a+8 a-12\right)+\left(5 a^2+10 a-4 a-8\right)$
$=\left(6 a^2-a-12\right)+\left(5 a^2+6 a-8\right)$
$=\left(11 a^2+5 a-20\right)$

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