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

Take away: 

\[\frac{y^3}{3} + \frac{7}{3} y^2 + \frac{1}{2}y + \frac{1}{2} \text { from } \frac{1}{3} - \frac{5}{3} y^2\]

Take away: 

\[\frac{2}{3}ac - \frac{5}{7}ab + \frac{2}{3}bc\text { from } \frac{3}{2}ab - \frac{7}{4}ac - \frac{5}{6}bc\]

Simplify the following:

 x² − 3x + 5 −  \[\frac{1}{2}\] (3x² − 5x + 7)

Simplify the following:

 [5 − 3x + 2y − (2x − y)] − (3x − 7y + 9)

Simplify the following:

\[\frac{11}{2} x^2 y - \frac{9}{4}x y^2 + \frac{1}{4}xy - \frac{1}{14} y^2 x + \frac{1}{15}y x^2 + \frac{1}{2}xy\]

Simplify the following:

\[\left( \frac{1}{3} y^2 - \frac{4}{7}y + 11 \right) - \left( \frac{1}{7}y - 3 + 2 y^2 \right) - \left( \frac{2}{7}y - \frac{2}{3} y^2 + 2 \right)\]

Simplify the following: \[- \frac{1}{2} a^2 b^2 c + \frac{1}{3}a b^2 c - \frac{1}{4}ab c^2 - \frac{1}{5}c b^2 a^2 + \frac{1}{6}c b^2 a - \frac{1}{7} c^2 ab + \frac{1}{8}c a^2 b .\]

Using the method of successive subtraction examine whether or not the following numbers is perfect cube 130 .

Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .

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