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(a + b)^2 Expansion and Visualisation

State whether...

Question

State whether the statement is True or False.
Evaluate: $(3 a^{2} - 4 b^{2}) (8 a^{2} - 3 b^{2})$ is equal to $24 a^{4} - 41 a^{2} b^{2} + 12 b^{4}$ .

A

True

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B

False

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Solution

The correct option is A True
$(3 a^{2} - 4 b^{2}) (8 a^{2} - 3 b^{2}), = 24 a^{4} + 12 b^{4} - 9 a^{2} b^{2} - 32 a^{2} b^{2} = 24 a^{4} + 12 b^{4} - 41 a^{2} b^{2}$

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