State whether statement is true or false
Subtracting the second expression from the first expression,we get
$(6 m^{3} + 4 m^{2} + 7 m - 3) - (3 m^{3} + 4) = 3 m^{3} + 4 m^{2} + 7 m - 7$

True

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False

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Solution

The correct option is A True
The given two expressions are $(6 m^{3} + 4 m^{2} + 7 m - 3)$ and $(3 m^{3} + 4)$ .

Let us subtract the second expression from the first expression as shown below:

$(6 m^{3} + 4 m^{2} + 7 m - 3) - (3 m^{3} + 4) = 6 m^{3} + 4 m^{2} + 7 m - 3 - 3 m^{3} - 4 = (6 m^{3} - 3 m^{3}) + 4 m^{2} + 7 m + (- 3 - 4) (C o m b i n i n g l i k e t e r m s) = (6 - 3) m^{3} + 4 m^{2} + 7 m - 7 = 3 m^{3} + 4 m^{2} + 7 m - 7$

Hence, $(6 m^{3} + 4 m^{2} + 7 m - 3) - (3 m^{3} + 4) = 3 m^{3} + 4 m^{2} + 7 m - 7$ .

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