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प्रश्न
Find the following product: \[\frac{6x}{5}( x^3 + y^3 )\]
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उत्तर
To find the product, we will use distributive law as follows:
\[\frac{6x}{5}\left( x^3 + y^3 \right)\]
\[ = \frac{6x}{5} \times x^3 + \frac{6x}{5} \times y^3 \]
\[ = \frac{6}{5} \times \left( x \times x^3 \right) + \frac{6}{5} \times \left( x \times y^3 \right)\]
\[ = \frac{6}{5} \times \left( x^{1 + 3} \right) + \frac{6}{5} \times \left( x \times y^3 \right)\]
\[ = \frac{6 x^4}{5} + \frac{6x y^3}{5}\]
Thus, the answer is \[\frac{6 x^4}{5} + \frac{6x y^3}{5}\].
संबंधित प्रश्न
Find each of the following product: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Find the following product:
1.5x(10x2y − 100xy2)
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(7x + y) by (x + 5y)
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Find the following product and verify the result for x = − 1, y = − 2:
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Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
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