Advertisements
Advertisements
प्रश्न
Simplify:
x2(x + 2y) (x − 3y)
Advertisements
उत्तर
To simplify, we will proceed as follows:
\[x^2 \left( x + 2y \right)\left( x - 3y \right)\]
\[ = \left[ x^2 \left( x + 2y \right) \right]\left( x - 3y \right)\]
\[ = \left( x^3 + 2 x^2 y \right)\left( x - 3y \right)\]
\[ = x^3 \left( x - 3y \right) + 2 x^2 y\left( x - 3y \right)\]
\[ = x^4 - 3 x^3 y + 2 x^3 y - 6 x^2 y^2 \]
\[ = x^4 - x^3 y - 6 x^2 y^2\]
Thus, the answer is \[x^4 - x^3 y - 6 x^2 y^2\].
संबंधित प्रश्न
Find each of the following product: \[\left( \frac{4}{3} u^2 vw \right) \times \left( - 5uv w^2 \right) \times \left( \frac{1}{3} v^2 wu \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Evaluate (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Simplify: a2b(a − b2) + ab2(4ab − 2a2) − a3b(1 − 2b)
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
(2xy + 3y2) (3y2 − 2)
Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
