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2. Factorise the following expressions.
(i) 7x - 42 (ii) 6p - 129 (iii) 7a2 + 14a
(iv) - 16 z + 20 z (v) 20 12 m + 30 al m
(vi) 5 x y - 15 xy2
(vii) 10 a² - 15 b2 + 20 c
(viii) - 4 a2 + 4 ab- 4 ca
(ix) x y z + xyʻz + x y z
(x) a x? y + b x y2 + c x y z
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Answers
Answer:
The given expression is .
Expand the terms in the prime factor form. The terms in the expression are .
The common factors of the term is . Using distributive law, the expression will be,
Thus, the factorised form of the expression is .
(ii)
The given expression is .
Expand the terms in the prime factor form. The terms in the expression are .
The common factors of given terms are . Hence, the common factors is . Using distributive law, the expression will be,
Thus, the factorised form of the expression is .
(iii)
The given expression is .
Expand the terms in the prime factor form. The terms in the expression are .
The common factors of given terms are . Hence, the common factors is . Using distributive law, the expression will be,
Thus, the factorised form of the expression is .
(iv)
The given expression is .
Expand the terms in the prime factor form. The terms in the expression are .
The common factors of given terms are . Hence, the common factors is . Using distributive law, the expression will be,