Perform the indicated operation and simplify the result. Leave your answer in factored form. [(4x−8)(−3x)].[12(12−6x)]

Question

Perform the indicated operation and simplify the result. Leave your answer in factored form.  [(4x−8)(−3x)].[12(12−6x)]

Alara Mccarthy · Accepted Answer

Step 1  We can simplify the Algebraic expressions by performing the mathematical operation presented in it and taking the common factors out and solve the equations to get the simpler form . Multiplication of an algebraic expression is same as the multiplication of fractions or rational functions. To perform multiplication between two algebraic expression we have multiply the numerator of the first algebraic expression with the numerator of the second expression and we have to multiply the denominator of the first algebraic expression with the second algebraic expression.  Step 2  First we can simplify by taking the common factors of the terms of an expression  The numerator 4x−8 of first fraction  is a multiple of 4 , it can be written as taking 4 outside the braces as 4(x−2).  the denominator 12−6x of the second fraction  is a multiple of 6 , it can be written as by taking 6 outside as 6(2−x).  thus the expression can be written as   4(x−2)−3x×126(2−x)  Now we can simplify the terms by canceling the multiples using numerator an denominator .  4(x−2)−3x×126(2−x)=4(x−2)−3x×22−x  =8(x−2)−3x(2−x)  We can stop here or we can write (2−x)=−(x−2), we get  =8(x−2)−3x×−(2−x)=83x  Hence we have the simplest factored form 83x

Accepted Answer

h(x)=3x+5)  g(x)=3x^2-3-2x  (h+g)(x)

RizerMix · Accepted Answer

First, we simplify the expression inside the brackets using the distributive property:[(4x−8)(−3x)]*[12(12−6x)]=4(x−2)−3x*126(2−x)=4(x−2)−3x*22−xNow, we can cancel out the factor of 2:=4(x−2)−3x*22−x=4(x−2)−3x*11−x2=4(x−2)−3x*11−12xNext, we can simplify further by canceling out the factor of (x-2) and multiplying the numerators and denominators:=4−3x*11−12x=4−3x*122−12x=4−3x*12−x2=4−3x*22−x=8−3x+3x2=83x2−3xFinally, we can simplify the fraction by factoring out a 3x from the denominator:=83x(x−1)=83x*1x−1=83xTherefore, the answer to the expression is =83x.

Jeffrey Jordon · Accepted Answer

Answer:8/(3x)Explanation:[(4x−8)(−3x)]*[12(12−6x)]We can simplify the expression by factoring out 4 from the numerator of the first fraction:=4(x−2)−3x*126(2−x)=4(x−2)−3x*22−xNext, we can use the fact that a/b*c/d=ac/bd to simplify the expression:=4(x−2)*2−3x*(2−x)=8(x−2)3x(x−2)We can simplify further by canceling out the common factor of (x-2) in the numerator and denominator:=83xTherefore, the answer to the expression is 8/(3x).

Vasquez · Accepted Answer

We start by simplifying the expression inside the square brackets by canceling out common factors:[(4x−8)(−3x)]·[12(12−6x)]=(4(x−2))(−3x)·12(6(2−x))=4(x−2)(−3x)·2(2−x)=4·2·(x−2)(−3x)·(2−x)=−8(x−2)3x(x−2)=−83xTherefore, the solution is 83x.

Perform the indicated operation and simplify the result. Leave your answer in factored form. [\frac{(4x-8)}{(-3x)} ]. [\frac{12}{(12-6x)}]

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