Simplify:
$(4 y^{3} + 2 y^{2} - y + 9) - (y^{3} - 5 y^{2} + 3)$

3 y^{3} + 7 y^{2} - y + 6

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5 y^{3} - 3 y^{2} - y + 12

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3 y^{3} + 7 y^{2} + 6

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Solution

The correct option is A $3 y^{3} + 7 y^{2} - y + 6$
To simplify, the substraction sign will alter all the sign of the 2nd term.

Arranging the terms vertically for addition and subtraction operation,

Hence, the simplified form is $3 y^{3} + 7 y^{2} - y + 6$

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