Use the distributive property to write each expression without parentheses. Then simplify the result. 5(x+4m+2)

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Use the distributive property to write each expression without parentheses. Then simplify the result.   5(x+4m+2)

Susan Yang · Accepted Answer

Step 1   The distributive property is one of the important property in Algebra . The distributive property is used to simplify the arithmetic operation .    According to distributive property , the operation on numbers which are in the parenthesis can be distributed for each number outside the parenthesis . By using this method , we can solve algebraic expressions and fractions involving this form of operation .   Step 2   The distributive property can be used to multiply two or more values (variables) inside a parenthesis with addition symbol in between them . In general for two values we can write the distributive property as , A(B+C)=AB+AC.  We have to use the distributive property of the form a(b+c+d)=a×b+a×c+a×d.   Consider the expression , 5(x+4m+2).   By using using the distributive property of the form a(b+c+d)=a×b+a×c+a×d, we can write.  5(x+4m+2)=5×x+5×4m+5×2   Multiply the values , we get,   5(x+4m+2)=5x+20m+10   Hence we have the simplified value 5x+20m+10.

Use the distributive property to write each expression without parenth

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