Download App

Algebraic Expressions and Identities — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Multiply:
$\big(3\text{x}^2\text{y} − 5\text{xy}^2\big) \ \text{by} \ \big(\frac{1}{5}\text{x}^2 + \frac{1}{3}\text{y}^2\big)$
✓

Answer

To multiply, we will use distributive law as follows:
$\big(3\text{x}^2\text{y} − 5\text{xy}^2\big) \ \text{by} \ \big(\frac{1}{5}\text{x}^2 + \frac{1}{3}\text{y}^2\big)$
$=\frac{1}{5}\text{x}^2\big(3\text{x}^2\text{y}−5\text{xy}^2\big)+\frac{1}{3}\text{y}^2\big(3\text{x}^2\text{y}−5\text{xy}^2\big)​​​​​​​$
$=\frac{3}{5}\text{x}^4\text{y}−\text{x}^3\text{y}^2+\text{x}^2\text{y}^3−\frac{5}{3}\text{xy}^4$
Thus, the answer is $=\frac{3}{5}\text{x}^4\text{y}−\text{x}^3\text{y}^2+\text{x}^2\text{y}^3−\frac{5}{3}\text{xy}^4.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Mark Question" from Algebraic Expressions and Identities→Algebraic Expressions and Identities — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Multiply:
$\frac{-6}{11}\ \text{by}\ \frac{-55}{36}$
→
Find the largest number of $3$ digits which is a perfect square.
→
Simplify the following using the identities:
$178 \times 178-22 \times 22$
→
Solve:
$12 m^2-27$
→
Write the following numbers in standard form:
0.00000000689
→
Factorize : $64 x^3-729 y^3$
→
Solve:
$\frac{50}{(\text{x})^2}-\frac{2\text{x}^2}{81}$
→
Find the squares of the following numbers using the identity $(a-b)^2=a^2-2 a b+b^2$ :
99
→
Solve:
$a^2-b^2+a-b$
→
The sum of two rational numbers is $\frac{-1}{2}$. If one of the numbers is $\frac{5}{6}$, find the other.
→