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Greatest Binomial Coefficients

State whether...

Question

State whether the statement is True or False.
Expand: $(6 a - 7 b)^{3}$ is equal to $216 a^{3} - 756 a^{2} b + 882 a b^{2} - 343 b^{3}$ .

A

True

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B

False

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Solution

The correct option is A True
${(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2} (6 a - 7 b)^{3} = 216 a^{3} - 343 b^{3} + 882 a b^{2} - 756 a^{2} b$

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