Question

Simplify 14x⁵(13x² + 13x⁵)

Answer 1

`182x^7+182x^(10)`

Step-by-step explanation

remember the distributive property

`a(b+c)=ab+ac`

ans some properties of the exponents numbers

`\begin{gathered} a^m\cdot a^n=a^(m+n) \\ (a^m)^n=a^(m\cdot n) \end{gathered}`

Step 1

`\begin{gathered} 14x^(5)\mleft(13x^(2)+13x^(5)\mright)​ \\ \text{apply distributive property} \\ 14x^5(13x^2+13x^5)​=(14x^5\cdot13x^2)+(14x^5\cdot13x^5) \\ 14x^5(13x^2+13x^5)​=182x^7+182x^(10) \\ 182x^7+182x^(10) \end{gathered}`

i hope this helps you