Download App

Operations on Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsOperations on Algebraic Expressions2 Marks
Question
Find the following products:
$\left(3 p^2+q^2\right) \times\left(2 p^2-3 q^2\right)$
✓

Answer

$\left(3 p^2+q^2\right) \times\left(2 p^2-3 q^2\right)$
$=3 p^2\left(2 p^2-3 q^2\right)+q^2\left(2 p^2-3 q^2\right)$
$=6 p^4-9 p^2 q^2+2 p^2 q^2-3 q 4$
$=6 p^4-7 p^2 q^2-3 q^4$

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 Operations on Algebraic Expressions→Operations on Algebraic Expressions — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Aman's income is 20% less than that of Anil. How much percent is Anil's income more than Aman's income?
→
Find following products:
$\Big(\frac{2}{3}\text{x}+\frac{4}{5}\text{y}\Big)\Big(\frac{2}{3}\text{x}+\frac{4}{5}\text{y}\Big)$
→
Divide $24 a^3 b^3$ by $-8 a b$.
→
Factorise:
$\text{z}^2+\text{z}+\frac{1}{4}$
→
Expand:
$\Big(3\text{m}-\frac{4}{5}\text{n}\Big)^2$
→
Find the cube roots of the following numbers by successive subtraction of numbers: 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ...1728
→
Observe the tables given below and in each one find whether x and y are proportional.
x 5 7 9 15 18 25
y 15 21 27 60 72 75
→
Which of the following triplets are pythagorean?
$(14,48,51)$
→
Find the following products:
$ \big(\text{p}^2 + 16\big) \big(\text{p}^2−\frac{1}{4}\big)$
→
Find the smallest number by which 1323 must be multiplied so that the product is a perfect cube.
→