Question 1 (v)

Simplify combining like terms:

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

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Solution

$5 x^{2} y - 5 x^{2} + 3 y x^{2} - 3 y^{2} + x^{2} - y^{2} + 8 x y^{2} - 3 y^{2} = 5 x^{2} y + 3 y x^{2} + 8 x y^{2} - 5 x^{2} + x^{2} - 3 y^{2} - y^{2} - 3 y^{2}$
$= (5 x^{2} y + 3 x^{2} y) + 8 x y^{2} - (5 x^{2} - x^{2}) - (3 y^{2} + y^{2} + 3 y^{2})$
$= 8 x^{2} y + 8 x y^{2} - 4 x^{2} - 7 y^{2}$

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Similar questions

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}

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)

Question 1 (vi)

Simplify combining like terms:

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

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

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