Simplify the given expression by the method of writing the expression

Susan Munoz

Susan Munoz

Answered question

2021-11-18

Simplify the given expression by the method of writing the expression as the quotient of two fraction and then dividing. Then simplify it again by the method of multiplying the expression by LCD/LCD decide which method you prefer for this expression. Explain
43x2x3+5x2+2x
Using the method of writing the expression as the quotient of two rational expression, write the given complex rational expression in the form of a quotient of two fractions

Answer & Explanation

Daniel Williams

Daniel Williams

Beginner2021-11-19Added 14 answers

Step 1:
Given: 43x2x3+5x2+2x
Step 2:
43x2x3+5x2+2x=4+5x23x2x3+2x
=4+1x2(53)x(13+2)
=41+2x27x3
Step 3:
Least common denominator (LCD), of 1, x2 and 3 is 3x2
Multiply and divide first term by 3x2
Multiply and divide second term by 3
Multiply and divide third term by x2
Step 4
43x2x3+5x2+2x=[41×3x23x2]+[2x2×33][7x3×x2x2]
=12x23x2+63x27x33x2
=12x2+67x33x2

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