What is factor 3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5 ?

The solution to factor 3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5 is a^2b(3+6ab-5a^2b^2+8a^3b^3+4a^4b^4)

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factor 3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5

factor

3 a^{2} b + 6 a^{3} b^{2} - 5 a^{4} b^{3} + 8 a^{5} b^{4} + 4 a^{6} b^{5}

a^{2} b (3 + 6 ab - 5 a^{2} b^{2} + 8 a^{3} b^{3} + 4 a^{4} b^{4})

Solution steps

3 a^{2} b + 6 a^{3} b^{2} - 5 a^{4} b^{3} + 8 a^{5} b^{4} + 4 a^{6} b^{5}

Apply exponent rule:

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

a^{3} b^{2} = a^{2} abb, a^{4} b^{3} = a^{2} a^{2} b b^{2}, a^{5} b^{4} = a^{2} a^{3} b b^{3}, a^{6} b^{5} = a^{2} a^{4} b b^{4}

= 3 a^{2} b + 6 a^{2} abb - 5 a^{2} a^{2} b b^{2} + 8 a^{2} a^{3} b b^{3} + 4 a^{2} a^{4} b b^{4}

Factor out common term

a^{2} b

= a^{2} b (3 + 6 ab - 5 a^{2} b^{2} + 8 a^{3} b^{3} + 4 a^{4} b^{4})

80 r + 90 s

- 2 ∣ x - 5 ∣ + 7 \geq 4

8 x - 4 > 4 x + 16

n^{2} = - 14 n - 37

8 a^{2} - 120 a + 576 = 0

What is factor 3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5 ?
The solution to factor 3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5 is a^2b(3+6ab-5a^2b^2+8a^3b^3+4a^4b^4)