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

Given: $5 x^{2} y - 5 x^{2} + 3 y x^{2} - 3 y^{2} + x^{2} - y^{2} + 8 x y^{2} - 3 y^{2}$
On combining the like terms and simplifying we get
$\Rightarrow 5 x^{2} y + 3 y x^{2} - 5 x^{2} + x^{2} - 3 y^{2} - y^{2} - 3 y^{2} + 8 x y^{2} = x^{2} y (5 + 3) + x^{2} (- 5 + 1) + y^{2} (- 3 - 1 - 3) + 8 x y^{2} = x^{2} y (8) + x^{2} (- 4) + y^{2} (- 7) + 8 x y^{2} = 8 x^{2} y - 4 x^{2} - 7 y^{2} + 8 x y^{2}$
Therefore, we get $8 x^{2} y - 4 x^{2} - 7 y^{2} + 8 x y^{2}$

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Similar questions

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

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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}

Question 1 (v)

Simplify combining like terms:

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

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)

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