Question
Find the product: $\left(p^{2}-q^{2}\right)(2 p+q)$
✓
Answer
$\left(p^{2}-q^{2}\right)(2 p+q)$
$=p^{2} (2 p+q)-q^{2}(2 p+q)$
$=p^{2} \times 2 p+p^{2} \times q-q^{2} \times 2 p-q^{2} \times q$
$=2 p^{3}+p^{2} q-2 p q^{2}-q^{3}$
$=p^{2} (2 p+q)-q^{2}(2 p+q)$
$=p^{2} \times 2 p+p^{2} \times q-q^{2} \times 2 p-q^{2} \times q$
$=2 p^{3}+p^{2} q-2 p q^{2}-q^{3}$
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
Evaluate: $\sqrt[3]{8\times17\times17\times17}$
→A cube of side $3\ cm$ painted on all its faces, when sliced into $1$ cubic centimetre cubes, will have exactly $1$ cube with none of its faces painted.
→The distance of any point from the y-axis is the __________ coordinate.
Is subtraction commutative on rational numbers?
Multiply : $(x - y)$ and $(3x + 5y)$
→$\Big(\frac{2}{3}\Big)^{-2}\times\Big(\frac{2}{3}\Big)^{-5}=\Big(\frac{2}{3}\Big)^{10}$
→Write the expressions as a power of a power in at least two different ways :
$9^{14}$
→$9^{14}$
A card is drawn at random from a pack of $52$ cards. Find the probability that the card drawn is: a heart.
→Find the least number which must be added to each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square, so obtained.
1825
1825
Find a single repeater machine that will do the same work as hook-up.