Solve.

(i) (6a $-$ 5b $-$ 8c) + (15b + 2a $-$ 5c) (ii) (3x+2y)(7x $-$ 8y)
(iii) (7m $-$ 5n) $-$ ( $-$ 4n $-$ 11m) (iv) (11m $-$ 12n+3p) $-$ (9m+7n $-$ 8p)

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Solution

(i) (6a $-$ 5b $-$ 8c) + (15b + 2a $-$ 5c)
= 6a $-$ 5b $-$ 8c + 15b + 2a $-$ 5c
= 8a + 10b − 13c
(ii) (3x+2y)(7x $-$ 8y)
= 3x(7x $-$ 8y) + 2y(7x $-$ 8y)
= 21x²− 24xy + 14xy − 16y²
= 21x²− 10xy − 16y²
(iii) (7m $-$ 5n) $-$ ( $-$ 4n $-$ 11m)
= 7m $-$ 5n + 4n + 11m
= 18m $-$ n
(iv) (11m $-$ 12n + 3p) $-$ (9m + 7n $-$ 8p)
= 11m $-$ 12n + 3p $-$ 9m $-$ 7n + 8p
= 2m $-$ 19n + 11p

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