Advertisements
Advertisements
प्रश्न
Find the following product: \[\frac{6x}{5}( x^3 + y^3 )\]
Advertisements
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 \[\frac{6 x^4}{5} + \frac{6x y^3}{5}\].
APPEARS IN
संबंधित प्रश्न
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 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:
−5a(7a − 2b)
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Multiply \[- \frac{3}{2} x^2 y^3 by (2x - y)\] and verify the answer for x = 1 and y = 2.
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Multiply:
(12a + 17b) × 4c
What is the result of 2y(3y² − 4y + 5)?
