Question 1 (vi)

Simplify combining like terms:

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

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Solution

$(3 y^{2} + 5 y - 4) - (8 y - y^{2} - 4) = 3 y^{2} + 5 y - 4 - 8 y + y^{2} + 4$
$= (3 y^{2} + y^{2}) + (5 y - 8 y) - (4 - 4)$
$= 4 y^{2} - 3 y - 0 = 4 y^{2} - 3 y$

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

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

Question 1 (v)

Simplify combining like terms:

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

Simplify combining like terms:

(i) 21b − 32 + 7b − 20b

(ii) − z² + 13z² − 5z + 7z³ − 15z

(iii) p − (p − q) − q − (q − p)

(iv) 3a − 2b − ab − (a − b + ab) + 3ab + b − a

(v) 5x²y − 5x² + 3y x² − 3y² + x²− y²+ 8xy² −3y²

(vi) (3 y²+ 5y − 4) − (8y − y² − 4)

5 x^{2} - 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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