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प्रश्न
Simplify:
x2(x + 2y) (x − 3y)
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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:
(−4x2) × (−6xy2) × (−3yz2)
Find each of the following product:
\[\left( 0 . 5x \right) \times \left( \frac{1}{3}x y^2 z^4 \right) \times \left( 24 x^2 yz \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
Evaluate each of the following when x = 2, y = −1.
\[\left( \frac{3}{5} x^2 y \right) \times \left( - \frac{15}{4}x y^2 \right) \times \left( \frac{7}{9} x^2 y^2 \right)\]
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
Multiply:
[−3d + (−7f)] by (5d + f)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Simplify : (4m − 8n)2 + (7m + 8n)2
Show that: (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
