Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities3 Marks
Question
Find the following products:
$(3 x-4 y)(2 x-4 y)$
✓
Answer
Here, we will use the identity $(x-a)(x-b)=x^2-(a+b) x+a b$.
$(3 x-4 y)(2 x-4 y)$
$=(4 y-3 x)(4 y-2 x) \text { (Taking common - } 1 \text { from both parentheses) }$
$=(4 y)^2-(3 x+2 x)(4 y)+3 x \times 2 x$
$=16 y^2-(12 x y+8 x y)+6 x^2$
$=16 y^2-20 x y+6 x^2$
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