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

Using the method of successive subtraction examine whether or not the following numbers is perfect cube 792 . 

Using the method of successive subtraction examine whether or not the following numbers is perfect cube 1331 .

Factorize each of the following expressions:
1 + x + xy + x²y

Factorize each of the following expressions:
ax + ay − bx − by

Factorize each of the following expressions:
xa² + xb² − ya² − yb²

Factorize each of the following expressions:
x² + xy + xz + yz

Factorize each of the following expressions:
2ax + bx + 2ay + by

Factorize each of the following expressions:
ab − by − ay + y²

Factorize each of the following expressions:
axy + bcxy − az − bcz

Factorize each of the following expressions:
lm² − mn² − lm + n²

Factorize each of the following expressions:
x³ − y² + x − x²y²

Factorize each of the following expressions:
6xy + 6 − 9y − 4x

Factorize each of the following expressions:
x² − 2ax − 2ab + bx

Factorize each of the following expressions:
x³ − 2x²y + 3xy² − 6y³

Factorize each of the following expression:
abx² + (ay − b) x − y

Factorize each of the following expression:
(ax + by)² + (bx − ay)²

Factorize each of the following expression:
16(a − b)³ − 24 (a − b)²

Factorize each of the following expression:
ab(x² + 1) + x(a² + b²)

Factorize each of the following expression:
a²x² + (ax² + 1)x + a

Factorize each of the following expression:
a(a − 2b − c) + 2bc