Simplify combining like terms: $- z^{2} + 13 z^{2} - 5 z + 7 z^{3} - 15 z$ .

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Solution

Simplifying given expression
Given: $- z^{2} + 13 z^{2} - 5 z + 7 z^{3} - 15 z$
On combining the like terms and simplifying we get
$= 7 z^{3} + (- z^{2} + 13 z^{2}) + (- 5 z - 15 z) = 7 z^{3} + z^{2} (- 1 + 13) + z (- 5 - 15) = 7 z^{3} + z^{2} (12) + z (- 20) = 7 z^{3} + 12 z^{2} - 20 z$
Hence, the required simplified form of given expression is $7 z^{3} + 12 z^{2} - 20 z$

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Question 1 (ii)

Simplify combining like terms:

$- z^{2} + 13 z^{2} - 5 z + 7 z^{3} - 15 z$

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)

- z^{2} + 13 z^{2} - 5 z + 7 z^{3} - 15 z

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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