Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities3 Marks
Question
Subtract the sum of $2 x-x^2+5$ and $-4 x-3+7 x^2$ from 5 .
✓
Answer
We have to subtract the sum of $\left(2 x-x^2+5\right)$ and $(-4 x-3+7 x)$ from 5 .
$5-\left\{\left(2 x-x^2+5\right)+\left(-4 x-3+7 x^2\right)\right\}$
$=5-\left(2 x-4 x-x^2+7 x^2+5-3\right)$
$=5-2 x-4 x-x^2+7 x^2+5-3$
$=5-5+3-2 x+4 x+x^2-7 x^2 \text { (Collecting like terms) }$
$=3+2 x-6 x^2 \text { (Combining like terms) }$
Thus, the answer is $3+2 x-6 x^2$.
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