Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities3 Marks
Question
Multiply:
$(5 x+3) \text { by }(7 x+2)$
✓
Answer
To multiply, we will use distributive law as follows:
$(5 x+3)(7 x+2)$
$=5 x(7 x+2)+3(7 x+2)$
$=(5 x \times 7 x+5 x \times 2)+(3 \times 7 x+3 \times 2)$
$=\left(35 x^2+10 x\right)(21 x+6)$
$=35 x^2+10 x+21 x+6$
$=35 x^2+31 x+6$
Thus, the answer is $35 x^2+31 x+6$.
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