Simplify:
$(3 y^{2} + 5 y - 4) - (8 y - y^{2} - 4)$

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Solution

Given:
$(3 y^{2} + 5 y - 4) - (8 y - y^{2} - 4)$

$= 3 y^{2} + 5 y - 4 - 8 y + y^{2} + 4$

$= (3 y^{2} + y^{2}) + (5 y - 8 y) - 4 + 4$

$= 4 y^{2} - 3 y$

$= y (4 y - 3)$ .

$∴ (3 y^{2} + 5 y - 4) - (8 y - y^{2} - 4) = y (4 y - 3)$

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(3 y^{2} + 5 y - 4) - (8 y - y^{2} - 4)

Question 1 (vi)

Simplify combining like terms:

$(3 y^{2} + 5 y - 4) - (8 y - y^{2} - 4)$

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(ii) − z² + 13z² − 5z + 7z³ − 15z

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5 x^{2} y - 5 x^{2} + 3 y x^{2} - 3 y^{2} + x^{2} - y^{2} + 8 x y^{2} - 3 y^{2}

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