Download App

Factorisation of Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorisation of Algebraic Expressions3 Marks
Question
Factorise: $125 p^3+q^3$
✓

Answer

125p³ + q³
= (5p)³ + q³
Here, a = 5p and b = q
∴ 125p³ + q³ = (5p + q)[(5p)² – (5p)(q) + q²]
…[∵ a³ + b³ = (a + b)(a² – ab + b²)]
= (5p + q)(25p² – 5pq + q²)

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 "3 Mark Question" from Factorisation of Algebraic Expressions→Factorisation of Algebraic Expressions — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9261, what it was 3 years ago?
→
Find the square root of the following by prime factorization.11664
→
The heights (in cm) of 22 students were recorded as under:
125, 132, 138, 144, 142, 136, 134, 125, 135, 130, 126, 132, 135, 142, 143, 128, 126, 136, 135, 130, 130, 133.
Prepare a frequency distribution table, taking equal class intervals and starting from 125-130, where 130 is not included.
→
Expand : $(k+4)^3$
→
Subtract:
$\text{x}^{2}\text{y}-\frac{4}{5}\text{x}\text{y}^{2}+\frac{4}{3}\text{xy}$ from $\frac{2}{3}\text{x}^{2}\text{y}+\frac{3}{2}\text{xy}^{2}-\frac{1}{3}\text{xy}$
→
In what time will Rs. 1000 amount to Rs. 1331 at 10% per annum, compound interest?
→
Find the greatest common factor of the polynomial:
$36 a^2 b^2 c^4, 54 a^5 c^2, 90 a^4 b^2 c^2$
→
A General arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8160, find the number of soldiers in each row.
→
A and B, working together can finish a piece of work in 6 days, while A alone can do it in 9 days. How much time will B alone take to finish it?
→
What must be added to following expressions to make it a whole square?
$4 x^2-12 x+7$
→