What is factor 40x^9y^8+24x^2y^5+16x^7y^2 ?

The solution to factor 40x^9y^8+24x^2y^5+16x^7y^2 is 8x^2y^2(5x^7y^6+3y^3+2x^5)

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factor 40x^9y^8+24x^2y^5+16x^7y^2

factor

40 x^{9} y^{8} + 24 x^{2} y^{5} + 16 x^{7} y^{2}

8 x^{2} y^{2} (5 x^{7} y^{6} + 3 y^{3} + 2 x^{5})

Solution steps

40 x^{9} y^{8} + 24 x^{2} y^{5} + 16 x^{7} y^{2}

Apply exponent rule:

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

x^{9} y^{8} = x^{2} x^{7} y^{2} y^{6}, x^{2} y^{5} = x^{2} y^{2} y^{3}, x^{7} y^{2} = x^{2} x^{5} y^{2}

= 40 x^{2} x^{2} x^{5} y^{2} y^{6} + 24 x^{2} y^{2} y^{3} + 16 x^{2} x^{5} y^{2}

Rewrite

16

2 \cdot 8

Rewrite

24

3 \cdot 8

= 5 \cdot 8 x^{2} x^{2} x^{5} y^{2} y^{6} + 3 \cdot 8 x^{2} y^{2} y^{3} + 2 \cdot 8 x^{2} x^{5} y^{2}

Factor out common term

8 x^{2} y^{2}

= 8 x^{2} y^{2} (5 x^{7} y^{6} + 3 y^{3} + 2 x^{5})

2 x y + x^{2} y - 6 - 3 x

x^{2} - 2 x + 6 \leq 0

- x = - 3 x^{2} + 1

x^{2} + (12 - x)^{2} = 74

(x + 1)^{2} < 0

What is factor 40x^9y^8+24x^2y^5+16x^7y^2 ?
The solution to factor 40x^9y^8+24x^2y^5+16x^7y^2 is 8x^2y^2(5x^7y^6+3y^3+2x^5)