What is factor (100m^6n^4)+(5m^3n^2) ?

The solution to factor (100m^6n^4)+(5m^3n^2) is 5m^3n^2(20m^3n^2+1)

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factor (100m^6n^4)+(5m^3n^2)

factor

(100 m^{6} n^{4}) + (5 m^{3} n^{2})

5 m^{3} n^{2} (20 m^{3} n^{2} + 1)

Solution steps

(100 m^{6} n^{4}) + (5 m^{3} n^{2})

Remove parentheses:

(a) = a

= 100 m^{6} n^{4} + 5 m^{3} n^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

m^{6} n^{4} = m^{3} m^{3} n^{2} n^{2}

= 100 m^{3} m^{3} n^{2} n^{2} + 5 m^{3} n^{2}

Rewrite

100

20 \cdot 5

= 20 \cdot 5 m^{3} m^{3} n^{2} n^{2} + 5 m^{3} n^{2}

Factor out common term

5 m^{3} n^{2}

= 5 m^{3} n^{2} (20 m^{3} n^{2} + 1)

(23 y) \cdot z

6 (3 x + 4)^{2} + (3 x + 4) - 1

d H (x)

3 x y - 2 x z - 3 a y + 2 a z

2 + 2 b + 3 a

What is factor (100m^6n^4)+(5m^3n^2) ?
The solution to factor (100m^6n^4)+(5m^3n^2) is 5m^3n^2(20m^3n^2+1)