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xeze [42]
3 years ago
12

Your friend used the distributive property and got an expression 4x +12y - 32. What algebraic expression could your friend have

started with?
Mathematics
1 answer:
dangina [55]3 years ago
7 0

The "inverse" operation of the distributibe property is factoring common terms: since the litera part is different for each term (we have a term involving x alone, a term involving y alone, and a pure number), we can only factor the numerical part.

4, 12 and 32 have factor 2 or 4 in common, so the two possible algebraic expression could be

2(2x+6y-16)

4(x+3y-8)

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Select the correct answer. which expression is equivalent to the given expression? assume the denominator does not equal zero. a
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If the denominator does not equal 0, the equivalent expression of \frac{14x^4y^6}{7x^8y^2} is \frac{2y^{4}}{x^{4}}\frac{x^{10} y^{14}}{729}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

\frac{14x^4y^6}{7x^8y^2}

Divide 14 by 7

\frac{14x^4y^6}{7x^8y^2} = \frac{2x^4y^6}{x^8y^2}

Apply the law of indices

\frac{14x^4y^6}{7x^8y^2} = \frac{2y^{6-2}}{x^{8-4}}

Evaluate the differences in the exponents

\frac{14x^4y^6}{7x^8y^2} = \frac{2y^{4}}{x^{4}}

Hence, the equivalent expression of \frac{14x^4y^6}{7x^8y^2} is \frac{2y^{4}}{x^{4}}

Read more about equivalent expressions at:

brainly.com/question/2972832

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