What is ((a^4+a^3*b^5))/((a^2)) ?

The solution to ((a^4+a^3*b^5))/((a^2)) is a(a+b^5)

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simplify ((a^4+a^3*b^5))/((a^2))

simplify

\frac{( a ^{4} + a ^{3} \cdot b ^{5} )}{( a ^{2} )}

a (a + b^{5})

Solution steps

\frac{a ^{4} + a ^{3} b ^{5}}{a ^{2}}

Factor

a^{4} + a^{3} b^{5} : a^{3} (a + b^{5})

= \frac{a ^{3} ( a + b ^{5} )}{a ^{2}}

Apply exponent rule:

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

a^{3} = a^{2} a

= \frac{a ^{2} a ( a + b ^{5} )}{a ^{2}}

Cancel the common factor:

a^{2}

= a (a + b^{5})

2^{x} - 1 \cdot 2

- 2 a (a^{3} - 4 a)

\frac{( 5 \cdot 2 ^{a} - 4 \cdot 2 ^{a - 2} )}{( 2 ^{a + 2} - 2 ^{a + 1} )}

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

(5 a^{5})^{2}

What is ((a^4+a^3*b^5))/((a^2)) ?
The solution to ((a^4+a^3*b^5))/((a^2)) is a(a+b^5)