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

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

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

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

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

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Solution

The correct option is A $3 y^{3} + 7 y^{2} - y + 6$
$C o n c e p t - ------- -$

Only like terms can be added or subtracted.

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

$= 4 y^{3} + 2 y^{2} - y + 9 - y^{3} + 5 y^{2} - 3$
[Opened the brackets]

$= (4 y^{3} - y^{3}) + (2 y^{2} + 5 y^{2}) - y + 9 - 3$
[Placing the like terms together]

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

Suggest Corrections

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