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

Find the following product:
250.5xy \[\left( xz + \frac{y}{10} \right)\]

Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]

Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]

Find the product 24x² (1 − 2x) and evaluate its value for x = 3.

Find the product −3y(xy + y²) and find its value for x = 4 and y = 5.

Multiply \[- \frac{3}{2} x^2 y^3 by (2x - y)\] and verify the answer for x = 1 and y = 2.

Simplify: 2x²(x³ − x) − 3x(x⁴ + 2x) − 2(x⁴ − 3x²)

Simplify: x³y(x² − 2x) + 2xy(x³ − x⁴)

Simplify: 3a² + 2(a + 2) − 3a(2a + 1)

Simplify: x(x + 4) + 3x(2x² − 1) + 4x² + 4

Simplify:  a(b − c) − b(c − a) − c(a − b)

Simplify: a(b − c) + b(c − a) + c(a − b)

Simplify: 4ab(a − b) − 6a²(b − b²) − 3b²(2a² − a) + 2ab(b − a)

Simplify:  x²(x² + 1) − x³(x + 1) − x(x³ − x)

Simplify:   2a² + 3a(1 − 2a³) + a(a + 1)

Simplify: a²(2a − 1) + 3a + a³ − 8

Simplify: \[\frac{3}{2} x^2 ( x^2 - 1) + \frac{1}{4} x^2 ( x^2 + x) - \frac{3}{4}x( x^3 - 1)\]

Simplify: a²b(a − b²⁾ + ab²(4ab − 2a²) − a³b(1 − 2b)

Simplify:  a²b(a³ − a + 1) − ab(a⁴ − 2a² + 2a) − b (a³ − a² − 1)

Multiply:
(5x + 3) by (7x + 2)