What is (3a^4b^3c^3)(8a^4b^5-7b^3d^6+7b^2c^3) ?

The solution to (3a^4b^3c^3)(8a^4b^5-7b^3d^6+7b^2c^3) is 3a^4b^3c^3(8a^4b^5-7b^3d^6+7b^2c^3)

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simplify (3a^4b^3c^3)(8a^4b^5-7b^3d^6+7b^2c^3)

simplify

(3 a^{4} b^{3} c^{3}) (8 a^{4} b^{5} - 7 b^{3} d^{6} + 7 b^{2} c^{3})

3 a^{4} b^{3} c^{3} (8 a^{4} b^{5} - 7 b^{3} d^{6} + 7 b^{2} c^{3})

Solution steps

(3 a^{4} b^{3} c^{3}) (8 a^{4} b^{5} - 7 b^{3} d^{6} + 7 b^{2} c^{3})

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

b^{3} c^{3} = (b c)^{3}

= 3 a^{4} (b c)^{3} (8 a^{4} b^{5} - 7 b^{3} d^{6} + 7 b^{2} c^{3})

(b c)^{3} = b^{3} c^{3}

= 3 a^{4} b^{3} c^{3} (8 a^{4} b^{5} - 7 b^{3} d^{6} + 7 b^{2} c^{3})

- (3)^{2}

\frac{- 10}{- 5}

43000 (1 + 12.25)^{- 48}

What is (3a^4b^3c^3)(8a^4b^5-7b^3d^6+7b^2c^3) ?
The solution to (3a^4b^3c^3)(8a^4b^5-7b^3d^6+7b^2c^3) is 3a^4b^3c^3(8a^4b^5-7b^3d^6+7b^2c^3)