Question
Multiply:
$ \left(2 x^2 y^2-5 x y^2\right)\left(x^2-y^2\right)$
$ \left(2 x^2 y^2-5 x y^2\right)\left(x^2-y^2\right)$
✓
Answer
To multiply, we will use distributive law as follows:
$ \left(2 x^2 y^2-5 x y^2\right)\left(x^2-y^2\right)$
$ =2 x^2 y^2\left(x^2-y^2\right)-5 x y^2\left(x^2-y^2\right) $
$ =2 x^4 y^2-2 x^2 y^4-5 x^3 y^2+5 x y^4 $
Thus, the answer is $ 2 x^4 y^2-2 x^2 y^4-5 x^3 y^2+5 x y^4 $.
$ \left(2 x^2 y^2-5 x y^2\right)\left(x^2-y^2\right)$
$ =2 x^2 y^2\left(x^2-y^2\right)-5 x y^2\left(x^2-y^2\right) $
$ =2 x^4 y^2-2 x^2 y^4-5 x^3 y^2+5 x y^4 $
Thus, the answer is $ 2 x^4 y^2-2 x^2 y^4-5 x^3 y^2+5 x y^4 $.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Which of the following number are not perfect cube$?\ 1728$
→Write a pythagorean triplet whose smallest member is: $20$
→$\frac{7}{11}$ of all the money in Hamid’s bank account is $Rs.\ 77,000$. How much money does Hamid have in his bank account?
→The probability that it will rain tomorrow is $0.85.$ What is the probability that it will not rain tomorrow$?$
→Find the squares of the following numbers. $205$
→Draw a histogram to represent the frequency distribution in question $91$.
→Find following products:
$(x + 6)(x + 6)$
→$(x + 6)(x + 6)$
Factorise: $\text{z}^2+\text{z}+\frac{1}{4}$
→Divide $293$ by $10,00,000$ and express the result in standard form.
→$RENT$ is a rectangle. Its diagonals meet at $O$. Find $x$, if $OR = 2x + 4$ and $OT = 3x + 1$.
.
→.