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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:
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Evaluate each of the following when x = 2, y = −1.
\[(2xy) \times \left( \frac{x^2 y}{4} \right) \times \left( x^2 \right) \times \left( y^2 \right)\]
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 following product:
2a3(3a + 5b)
Simplify: 3a2 + 2(a + 2) − 3a(2a + 1)
Multiply:
(x6 − y6) by (x2 + y2)
Simplify:
x2(x + 2y) (x − 3y)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Which formula represents multiplication of powers with the same base?
