State whether the statement is True or False.
$(3 a^{2} - 7 b^{2}) (5 a^{2} - b^{2})$ is equal to $15 a^{2} - 38 a^{2} b^{2} + 7 b^{4}$ .

True

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False

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Solution

The correct option is A True
$(3 a^{2} - 7 b^{2}) (5 a^{2} - b^{2}), = 15 a^{4} + 7 b^{4} - 35 a^{2} b^{2} - 3 a^{2} b^{2} = 15 a^{4} + 7 b^{4} - 38 a^{2} b^{2}$

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