Advertisements
Advertisements
प्रश्न
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Advertisements
उत्तर
To simplify, we will proceed as follows:
\[\left( x^2 - 2 y^2 \right)\left( x + 4y \right) x^2 y^2 \]
\[ = \left[ x^2 \left( x + 4y \right) - 2 y^2 \left( x + 4y \right) \right] x^2 y^2 \]
\[ = \left( x^3 + 4 x^2 y - 2x y^2 - 8 y^3 \right) x^2 y^2 \]
\[ = x^5 y^2 + 4 x^4 y^3 - 2 x^3 y^4 - 8 x^2 y^5\]
Thus, the answer is \[x^5 y^2 + 4 x^4 y^3 - 2 x^3 y^4 - 8 x^2 y^5\].
APPEARS IN
संबंधित प्रश्न
Find each of the following product:
5x2 × 4x3
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Find the following product:
0.1y(0.1x5 + 0.1y)
Simplify: \[\frac{3}{2} x^2 ( x^2 - 1) + \frac{1}{4} x^2 ( x^2 + x) - \frac{3}{4}x( x^3 - 1)\]
Multiply:
(5x + 3) by (7x + 2)
Multiply:
(x2 + y2) by (3a + 2b)
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Simplify : (4m − 8n)2 + (7m + 8n)2
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Solve the following equation.
6x − 1 = 3x + 8
