The value of $(2 a^{2} b - 3 c^{3}) (3 a^{3} b + 4 c)$ is

5 a^{6} b^{2} + 12 c^{4} - 9 a^{3} b c^{3} - 12 c^{4}

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5 a^{5} b^{2} + 8 a^{2} b c - 9 a^{3} b c^{3} + 12 c^{4}

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6 a^{5} b^{2} + 8 a^{2} b c - 9 a^{3} b c^{3} + 12 c^{4}

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6 a^{6} b^{2} + 8 a^{2} b c - 9 a^{3} b c^{3} - 12 c^{4}

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6 a^{5} b^{2} + 8 a^{2} b c - 9 a^{3} b c^{3} - 12 c^{4}

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Solution

The correct option is E $6 a^{5} b^{2} + 8 a^{2} b c - 9 a^{3} b c^{3} - 12 c^{4}$
The value of $(2 a^{2} b - 3 c^{3}) (3 a^{3} b + 4 c)$
$= 2 a^{2} b (3 a^{3} b + 4 c) - 3 c^{3} (3 a^{3} b + 4 c)$
$= 6 a^{5} b^{2} + 8 a^{2} b c - 9 a^{3} c^{3} b - 12 c^{4}$

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The value of (2a2b−3c3)(3a3b+4c) is

The correct option is E 6a5b2+8a2bc−9a3bc3−12c4The value of (2a2b−3c3)(3a3b+4c)=2a2b(3a3b+4c)−3c3(3a3b+4c)=6a5b2+8a2bc−9a3c3b−12c4

The value of $(2 a^{2} b - 3 c^{3}) (3 a^{3} b + 4 c)$ is

The correct option is E $6 a^{5} b^{2} + 8 a^{2} b c - 9 a^{3} b c^{3} - 12 c^{4}$
The value of $(2 a^{2} b - 3 c^{3}) (3 a^{3} b + 4 c)$
$= 2 a^{2} b (3 a^{3} b + 4 c) - 3 c^{3} (3 a^{3} b + 4 c)$
$= 6 a^{5} b^{2} + 8 a^{2} b c - 9 a^{3} c^{3} b - 12 c^{4}$