Question

find the common factor of the given terms in each 1)3a,21ab 2)7xy, 35x²y³ 3) 4m², 6m², 8m³
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Answer 1

1. Given terms are 3a and 21ab.

Prime factors of given terms are:-

3a = 3 × a.

21ab = a × b × 7 × 3.

Common factors will be.

⇒ 3 × a = 3a.

2. Given terms are 7xy and 35x²y³

Prime factors of given terms are:-

7xy = 7 × x × y.

35x2y3 = x × x × y × y × 7 × 5.

Common factors will be.

⇒ 7 × x × y = 7xy.

3. Given terms are 4m²,6m² and 8m³

Prime factors of given terms are:-

4m2 = 2 × 2 × m × m. 6m2 = 3 × 2 × m × m. 8m3 = 2 × 2 × 2 × m × m × m.

Common factors will be

⇒ 2 × m × m = 2m²

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