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प्रश्न
Simplify:
(x2 − 2y2) (x + 4y) x2y2
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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 \[x^5 y^2 + 4 x^4 y^3 - 2 x^3 y^4 - 8 x^2 y^5\].
संबंधित प्रश्न
Find each of the following product:
5x2 × 4x3
Find each of the following product: \[\left( \frac{4}{3} u^2 vw \right) \times \left( - 5uv w^2 \right) \times \left( \frac{1}{3} v^2 wu \right)\]
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Simplify: x(x + 4) + 3x(2x2 − 1) + 4x2 + 4
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Simplify: a2(2a − 1) + 3a + a3 − 8
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Multiply:
(x6 − y6) by (x2 + y2)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
