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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:
\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]
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\[\left( 0 . 5x \right) \times \left( \frac{1}{3}x y^2 z^4 \right) \times \left( 24 x^2 yz \right)\]
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Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
(2xy + 3y2) (3y2 − 2)
Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
Simplify : (4m − 8n)2 + (7m + 8n)2
Multiply:
(12a + 17b) × 4c
What is the product of (x + 3) and (x − 5)?
