What is factor 45x^5y^7+33x^3y^3+78x^2y^4 ?

The solution to factor 45x^5y^7+33x^3y^3+78x^2y^4 is 3x^2y^3(15x^3y^4+11x+26y)

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factor 45x^5y^7+33x^3y^3+78x^2y^4

factor

45 x^{5} y^{7} + 33 x^{3} y^{3} + 78 x^{2} y^{4}

3 x^{2} y^{3} (15 x^{3} y^{4} + 11 x + 26 y)

Solution steps

45 x^{5} y^{7} + 33 x^{3} y^{3} + 78 x^{2} y^{4}

Apply exponent rule:

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

x^{5} y^{7} = x^{2} x^{3} y^{3} y^{4}, x^{3} y^{3} = x^{2} x y^{3}, x^{2} y^{4} = x^{2} y^{3} y

= 45 x^{2} x^{2} x y^{3} y^{4} + 33 x^{2} x y^{3} + 78 x^{2} y^{3} y

Rewrite

78

26 \cdot 3

Rewrite

33

11 \cdot 3

= 15 \cdot 3 x^{2} x^{2} x y^{3} y^{4} + 11 \cdot 3 x^{2} x y^{3} + 26 \cdot 3 x^{2} y^{3} y

Factor out common term

3 x^{2} y^{3}

= 3 x^{2} y^{3} (15 x^{3} y^{4} + 11 x + 26 y)

- \frac{4}{9} f = - 3

- 2 - 8

5 - 2 (x + 3) = - \frac{1}{2} (4 x + 2)

\frac{x ^{2} - 4 x}{x ^{2} + 3 x + 2} \geq 0

\frac{3 x + 2}{2} = - 5

What is factor 45x^5y^7+33x^3y^3+78x^2y^4 ?
The solution to factor 45x^5y^7+33x^3y^3+78x^2y^4 is 3x^2y^3(15x^3y^4+11x+26y)