EXERCISE 14.
1. Find the common factors of the given terms.
6) 12x, 36 (1) 2y, 22xy
(1) 14 pq, 28pq
(iv) 2x, 3r, 4 (v) 6 abc, 24ab, 12 a'b
(vi) 16 r. - 4x2, 32x
(vii) 10 pg, 20gr, 30rp
(vii) 3x y', 10x y,6 x y z
2. Factorise the following expressions
(1) 7x - 42 (ii) 6 - 129 (ii) 7a + 140
(iv) - 16 z + 20 z (v) 2012 m + 30 a lm
(vi) 5 x y - 15 xy
(vii) 10 a? - 15 b 4 20
(viii) -4a? + 4 ab- 4 ca
(ix) * yz + xyz + x y z
(x) a xy + xy + cxyz
3. Factorise.
0 x + xy + 8x + 8y
(m) 15 xy - 6x + 5y - 2
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Sorry it's for asking doubts not asking someone to do exercises
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Solution:
(i)12x, 36
Factors of 12x and 36 are
⇒ 12x = 2 × 2 × 2 × 3 × x
⇒ 36 = 2 × 2 × 3 × 3
So, common factors are
⇒ 2 × 2 × 3 × 3 = 12
(ii) 2y, 22xy
Factors of 2y, 22xy
⇒ 2y = 2 × y
⇒ 22xy = 2 × 11 × x × y
So, common factors are
⇒ 2 × y = 2y
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