Question
Simplify: (a+b)(2a−3b+c)−(2a−3b)(c). [3 MARKS]
Answer:
:
Steps: 2 Marks
Answer: 1 Mark
(a+b)(2a−3b+c)−(2a−3b)c
=[(a+b)(2a−3b+c)]−[(2a−3b)c]
=[2a2−3ba+ac+2ab−3b2+bc]−[2ac−3bc]
=2a2−3ba+ac+2ab−3b2+bc−2ac+3bc
=2a2−3b2−ab−ac+4bc
The simplified expresion is
=2a2−3b2−ab−ac+4bc.
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:
Steps: 2 Marks
Answer: 1 Mark
(a+b)(2a−3b+c)−(2a−3b)c
=[(a+b)(2a−3b+c)]−[(2a−3b)c]
=[2a2−3ba+ac+2ab−3b2+bc]−[2ac−3bc]
=2a2−3ba+ac+2ab−3b2+bc−2ac+3bc
=2a2−3b2−ab−ac+4bc
The simplified expresion is
=2a2−3b2−ab−ac+4bc.
Was this answer helpful ?
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