Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

Factorise the following expression.

2a³ – 3a²b + 5ab² – ab

Factorise the following expression.

63p²q²r²s – 9pq²r²s² + 15p²qr²s² – 60p²q²rs²

Factorise the following expression.

24x²yz³ – 6xy³z² + 15x²y²z – 5xyz

Factorise the following expression.

a³ + a² + a + 1

Factorise the following expression.

lx + my + mx + ly

Factorise the following expression.

a³x – x⁴ + a²x² – ax³ 

Factorise the following expression.

2x² – 2y + 4xy – x

Factorise the following expression.

y² + 8zx – 2xy – 4yz

Factorise the following expression.

ax²y – bxyz – ax²z + bxy² 

Factorise the following expression.

a²b + a²c + ab + ac + b²c + c²b

Factorise the following expression.

2ax² + 4axy + 3bx² + 2ay² + 6bxy + 3by² 

For a fixed base, if the exponent decreases by 1, the number becomes ______.

The multiplicative inverse of 10^–100 is ______.

The multiplicative inverse of `(- 5/9)^-99` is ______.

The multiplicative inverse of 10¹⁰ is ______.

The multiplicative inverse of (– 4)^–2 is (4)^–2.

The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.

The expression for 4^–3 as a power with the base 2 is 2⁶.

Express 3^–5 × 3^–4 as a power of 3 with positive exponent.

Express 16^–2 as a power with the base 2.