Find the following product-43 aa 2-b 2-3 c 2

To find the product, we will use distributive law as follows: 43aa2+b2 3c2=43a #215;a2+43a #215;b2 43a #215;3c2=43a1+2+43ab2 4ac2=43a3+43ab2 4ac2 Thus, ...

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Standard XII

Mathematics

Evaluation of a Determinant

Find the foll...

Question

Find the following product:
$\frac{4}{3} a (a^{2} + b^{2} - 3 c^{2})$

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Solution

To find the product, we will use distributive law as follows:

$\frac{4}{3} a (a^{2} + b^{2} - 3 c^{2}) = \frac{4}{3} a \times a^{2} + \frac{4}{3} a \times b^{2} - \frac{4}{3} a \times 3 c^{2} = \frac{4}{3} a^{1 + 2} + \frac{4}{3} a b^{2} - 4 a c^{2} = \frac{4}{3} a^{3} + \frac{4}{3} a b^{2} - 4 a c^{2}$

Thus, the answer is $\frac{4}{3} a^{3} + \frac{4}{3} a b^{2} - 4 a c^{2}$ .

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Similar questions

Q. Find the product:

\frac{2}{3} a b c (a^{2} + b^{2} - 3 c^{2})

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(a + b) (a^{2} + 2 a b + b^{2})

Q. Expand the following:

(4 a - 2 b - 3 c)^{2}

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{9 b}^{2} + {3 c}^{2}

and

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Q. (a) What should be added to

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to get

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?
(b) What must be subtracted from

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to get

2 a^{2} - b^{2} - 3 c^{2} + a b c

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Find the following product: 43a(a2 + b2 - 3c2)

To find the product, we will use distributive law as follows: 43aa2+b2-3c2=43a×a2+43a×b2-43a×3c2=43a1+2+43ab2-4ac2=43a3+43ab2-4ac2 Thus, the answer is 43a3+43ab2-4ac2.

Find the following product:
$\frac{4}{3} a (a^{2} + b^{2} - 3 c^{2})$