Download App

Factorisation of Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorisation of Algebraic Expressions3 Marks
Question
Factorise: $2 l^3+432 m^3$
✓

Answer

2l³ + 432m³
= 2 (l³ + 216m³)
… [Taking out the common factor 2]
= 2[l³ + (6m)³]
Here, a = l and b = 6m
2l³ + 432m³ = 2 {(l + 6m)[l² – l(6m) + (6m)²]}
…[∵ a³ + b³ = (a + b)(a² – ab + b²)]
= 2(l + 6m)(l² – 6lm + 36m²)

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

List price a cooler is Rs. 2,563. The rate of VAT is 10%. The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs. 2,563 inclusive of VAT. Find the discount in the price of the cooler.
→
If selling price Rs 900, discount is 20%, then find the marked price.
→
Find the squares of the following numbers using the identity $(a-b)^2=a^2-2 a b+b^2$ :
$702$
→
Find the length of a side of a sqiare, whose area is equal to the area of a rectangle with sides 240m and 70m.
→
Solve the following equation and also check your result in case:
$\frac{2\text{x}+5}{3}=3\text{x}-10$
→
The cost of 15 metres of a cloth is Rs. 981. What length of this cloth can be purchased for Rs. 1308?
→
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication,
$25$
→
Simplify:
$4 a b(a-b)-6 a^2\left(b-b^2\right)-3 b^2\left(2 a^2-a\right)+2 a b(b-a)$
→
Find the greatest number of five digits which is a perfect square. Also find the square root of the number so obtained.
→
Find the greatest common factor of the polynomial:
$4 a^2 b^3,-12 a^3 b, 18 a^4 b^3$
→