Secondary School (English Medium) (5 to 8) कक्षा ८ - CBSE Question Bank Solutions

Find the square of the following number: 

425 

Find the square of the following number: 

 575

Find the square of the following number: 

 405

Find the square of the following number:  

205 

Find the square of the following number: 

95 

Find the square of the following number: 

745 

Find the square of the following number: 

512 

Find the square of the following number: 

995 

Take away:

\[\frac{6}{5} x^2 - \frac{4}{5} x^3 + \frac{5}{6} + \frac{3}{2}x \text { from  }\frac{x^3}{3} - \frac{5}{2} x^2 + \frac{3}{5}x + \frac{1}{4}\]

Take away:

\[\frac{5 a^2}{2} + \frac{3 a^3}{2} + \frac{a}{3} - \frac{6}{5} \text { from } \frac{1}{3} a^3 - \frac{3}{4} a^2 - \frac{5}{2}\]

Take away: 

\[\frac{7}{4} x^3 + \frac{3}{5} x^2 + \frac{1}{2}x + \frac{9}{2}\text {  from } \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5}\]

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 .