Question

Greatest Common Factor and Factoring by Grouping. Please solve this maths

Answer 1

The greatest common factor and factoring by grouping of the following is;

• 3m
• 2a
• 8xy
• 5mn
• 3(r + t)²
• z²(m + n)⁴

Greatest common factor

The greatest common factor is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

9m³, 3m², 15m

= 3m

4a², 6a, 2a³

= 2a

16xy³, 24x²y², 8x²y

= 8xy

10m²n², 25mn³, 50m²n

= 5mn

6m(r + t)², 3p(r + t)⁴

= 3(r + t)²

7z²(m + n)⁴, 9z³(m + n)^5

= z²(m + n)⁴

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