Answer :

[tex]\begin{gathered} 6(10+2)=(6\cdot10)+(6\cdot2) \\ 6(10+2)=60+12 \\ 6(10+2)=72 \end{gathered}[/tex]

Explanation

the distributive property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together

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

so

Step 1

[tex]6(10+2)[/tex]

apply the distributive property

[tex]6(10+2)=(6\cdot10)+(6\cdot2)[/tex]

now, calculate ot simplify

[tex]\begin{gathered} 6(10+2)=(6\cdot10)+(6\cdot2) \\ 6(10+2)=60+12 \\ 6(10+2)=72 \end{gathered}[/tex]

I hope this helps you

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