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

Which of the following statement is true?
The sum of two consecutive odd numbers is always divisible by 4.

Find the greatest common factor of the terms in each of the following expression:
5a⁴ + 10a³ − 15a²

Find the greatest common factor of the terms in each of the following expression:
2xyz + 3x²y + 4y²

Find the greatest common factor of the terms in each of the following expression:
3a²b² + 4b²c² + 12a²b²c²

Factorize each of the following algebraic expressions:
6x(2x − y) + 7y(2x − y)

Find the least number which must be subtracted from the following numbers to make them a perfect square: 

 2361

Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)

Factorize each of the following algebraic expressions:
7a(2x − 3) + 3b(2x − 3)

Factorize each of the following algebraic expressions:
9a(6a − 5b) −12a²(6a − 5b)

Factorize each of the following algebraic expressions:
5(x − 2y)² + 3(x − 2y)

Factorize each of the following algebraic expressions:
16(2l − 3m)² −12(3m − 2l)

Factorize each of the following algebraic expressions:
3a(x − 2y) −b(x − 2y)

Factorize each of the following algebraic expressions:
a²(x + y) +b²(x + y) +c²(x + y)

Factorize each of the following algebraic expressions:
(x − y)² + (x − y)

Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)²

Factorize each of the following algebraic expressions:
a(x − y) + 2b(y − x) + c(x − y)²

Factorize each of the following algebraic expressions:
−4(x − 2y)² + 8(x −2y)

Factorize each of the following algebraic expressions:
x³(a − 2b) + x²(a − 2b)

Find the least number which must be added to the following numbers to make them a perfect square:

 5607

Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)