Answered

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simplify 14x⁵(13x² + 13x⁵)

Sagot :

[tex]182x^7+182x^{10}[/tex]

Explanation

remember the distributive property

[tex]a(b+c)=ab+ac[/tex]

ans some properties of the exponents numbers

[tex]\begin{gathered} a^m\cdot a^n=a^{m+n} \\ (a^m)^n=a^{m\cdot n} \end{gathered}[/tex]

Step 1

[tex]\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}[/tex]

i hope this helps you

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