Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities3 Marks
Question
Find following product:
$(-5 x y) \times\left(-3 x^2 y z\right)$
✓
Answer
To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, $a ^{ m } \times$ $a^n=a^{m+n}$ wherever applicable.
We have:
$(-5 x y) \times\left(-3 x^2 y z\right)$
$=\{(-5) \times(-3)\} \times\left(x \times x^2\right) \times(y \times y) \times z$
$=15 \times\left(x^{1+2}\right) \times\left(y^{1+1}\right) \times z=15 x^3 y^2 z$
Thus, the answer is $15 x^3 y^2 z$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.