What is (64a^3+343)/(4a+7) ?

The solution to (64a^3+343)/(4a+7) is 16a^2-28a+49

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simplify (64a^3+343)/(4a+7)

simplify

\frac{64 a ^{3} + 343}{4 a + 7}

16 a^{2} - 28 a + 49

Solution steps

\frac{64 a ^{3} + 343}{4 a + 7}

Factor

64 a^{3} + 343 : (4 a + 7) (16 a^{2} - 28 a + 49)

= \frac{( 4 a + 7 ) ( 16 a ^{2} - 28 a + 49 )}{4 a + 7}

Cancel the common factor:

4 a + 7

= 16 a^{2} - 28 a + 49

(- 3 x^{2} y^{3})^{2}

(7 x - 2)^{2}

\frac{3}{2} \div \frac{3}{2}

\frac{2 x ^{2} + x}{6} \cdot \frac{8}{4 x + 2}

\frac{x ^{2}}{4 x}