What is factor 42x^5y+36x^2y^4 ?

The solution to factor 42x^5y+36x^2y^4 is 6x^2y(7x^3+6y^3)

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factor 42x^5y+36x^2y^4

factor

42 x^{5} y + 36 x^{2} y^{4}

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

Solution steps

42 x^{5} y + 36 x^{2} y^{4}

Apply exponent rule:

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

x^{5} y = x^{2} x^{3} y, x^{2} y^{4} = x^{2} y y^{3}

= 42 x^{2} x^{3} y + 36 x^{2} y y^{3}

Rewrite

36

6 \cdot 6

Rewrite

42

7 \cdot 6

= 7 \cdot 6 x^{2} x^{3} y + 6 \cdot 6 x^{2} y y^{3}

Factor out common term

6 x^{2} y

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

6 (k + 2 m)

405 x^{2}

(t + h)^{2}

(3 y - 7)^{2}

What is factor 42x^5y+36x^2y^4 ?
The solution to factor 42x^5y+36x^2y^4 is 6x^2y(7x^3+6y^3)