What is (28x^7y^6+21x^6y^5)/(7x^3y^3) ?

The solution to (28x^7y^6+21x^6y^5)/(7x^3y^3) is x^3y^2(4xy+3)

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simplify (28x^7y^6+21x^6y^5)/(7x^3y^3)

simplify

\frac{28 x ^{7} y ^{6} + 21 x ^{6} y ^{5}}{7 x ^{3} y ^{3}}

x^{3} y^{2} (4 x y + 3)

Solution steps

\frac{28 x ^{7} y ^{6} + 21 x ^{6} y ^{5}}{7 x ^{3} y ^{3}}

Factor

28 x^{7} y^{6} + 21 x^{6} y^{5} : 7 x^{6} y^{5} (4 x y + 3)

= \frac{7 x ^{6} y ^{5} ( 4 x y + 3 )}{7 x ^{3} y ^{3}}

Cancel the common factor:

7

= \frac{x ^{6} y ^{5} ( 4 x y + 3 )}{x ^{3} y ^{3}}

Apply exponent rule:

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

x^{6} = x^{3} x^{3}

= \frac{x ^{3} x ^{3} y ^{5} ( 4 x y + 3 )}{x ^{3} y ^{3}}

Cancel the common factor:

x^{3}

= \frac{x ^{3} y ^{5} ( 4 x y + 3 )}{y ^{3}}

Apply exponent rule:

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

y^{5} = y^{3} y^{2}

= \frac{x ^{3} y ^{3} y ^{2} ( 4 x y + 3 )}{y ^{3}}

Cancel the common factor:

y^{3}

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

3 x^{2} + 5 x^{2}

3 \frac{3}{4} \div \frac{5}{7}

lo g_{10} (1 0^{10})

3^{2} - 4^{2}

\frac{x}{x ^{3}}

What is (28x^7y^6+21x^6y^5)/(7x^3y^3) ?
The solution to (28x^7y^6+21x^6y^5)/(7x^3y^3) is x^3y^2(4xy+3)