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Equivalent Ratios

What are the ...

Question

What are the common factors of 10pq, 20qr, 30 rp

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Solution

10pq = 2 × 5 × p × q

20qr = 2 × 2 × 5 × q × r

30rp = 2 × 3 × 5 × r × p

The common factors are 2, 5

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10 p q, 20 q r, 30 r p

10 p q, 20 q r, 30 r p

10 P Q, 20 Q R and 30 R P .

Find the common factors of the terms

(i) $12 x, 36$

(ii) $2 y, 22 x y$

(iii) $14 p q, 28 p^{2} q^{2}$

(iv) $2 x, 3 x^{2}, 4$

(v) $6 a b c, 24 a b^{2}, 12 a^{2} b$

(vi) $16 x^{3}, - 4 x^{2}, 32 x$

(vii) $10 p q, 20 q r, 30 r p$

(viii) $3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z$

12 x, 36

2 y, 22 x y

14 p q, 28 p^{2} q^{2}

2 x, 3 x^{2}, 4

6 a b c, 24 a b^{2}, 12 a^{2} b

16 x^{3}, - 4 x^{2}, 32 x

10 p q, 20 q r, 30 r p

3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z

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