Question 1 (iii)

Simplify combining like terms:

p - (p - q) - q - (q - p)

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Solution

p - (p - q) - q - (q - p) = p - p + q - q - q + p
= p - p + p + q - q - q = p - q

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Similar questions

p - (p - q) - q - q (q - p)

Question 56 (c)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$p^{3} q^{2} r + p q^{2} r^{3} + 3 p^{2} q r^{2} - 9 p^{2} q r^{2}$

Question 4(v)
Simplify:
$(2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}$

Question 84 (v)

Simplify

$(1.5 p + 1.2 q)^{2} - (1.5 p - 1.2 q)^{2}$

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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