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प्रश्न
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
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उत्तर
To find the product, we will use distributive law as follows:
\[\frac{4}{3}a\left( a^2 + b^2 - 3 c^2 \right)\]
\[ = \frac{4}{3}a \times a^2 + \frac{4}{3}a \times b^2 - \frac{4}{3}a \times 3 c^2 \]
\[ = \frac{4}{3} a^{1 + 2} + \frac{4}{3}a b^2 - 4a c^2 \]
\[ = \frac{4}{3} a^3 + \frac{4}{3}a b^2 - 4a c^2\]
Thus, the answer is \[\frac{4}{3} a^3 + \frac{4}{3}a b^2 - 4a c^2\].
संबंधित प्रश्न
Find each of the following product:
(−4x2) × (−6xy2) × (−3yz2)
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Find the following product:
250.5xy \[\left( xz + \frac{y}{10} \right)\]
Multiply:
(7x + y) by (x + 5y)
Multiply:
(3x2y − 5xy2) by \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].
(2xy + 3y2) (3y2 − 2)
Find the following product and verify the result for x = − 1, y = − 2:
(x2y − 1) (3 − 2x2y)
Simplify:
x2(x + 2y) (x − 3y)
Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
