Question

Match each expression written in standard form to the equivalent expression in factored form. 15x+10y? 3x(5x®y2 + 1) 15x+y2 + 6xy x> (15x4y2 + 4) 15x?Y2 + 3x 3xy(5x®y + 2) 15x7y2 + 4x2 5(3x? + 2y?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The correct matches are as follows:

1) 15$x^{7}$y² + 6xy is equivalent to 3xy( 5$x^{6}$y + 2 )

2) 15$x^{7}$y² +4x³ is equivalent to x³(15$x^{4}$y² + 4)

3) 15$x^{7}$y² + 3x is equivalent to 3x( 5 $x^{6}$y² + 1)

4) 15$x^{7}$ + 10y² is equivalent to 5 ( 3$x^{7}$ + 2y²)

What is an algebraic expression?

'Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values.'

According to the given problem,

15$x^{7}$y² + 6xy is the first expression and when we take 3xy common, it gets to  3xy( 5$x^{6}$y + 2 )

15$x^{7}$y² +4x³ is the second expression and when we take x³ common, it gets to x³(15$x^{4}$y² + 4)

15$x^{7}$y² + 3x is the third expression and when we take 3x common, it gets to 3x( 5 $x^{6}$y² + 1)

15$x^{7}$ + 10y² is the last expression and when we take 5 common, it gets to 5 ( 3$x^{7}$ + 2y²)

Hence, we can conclude the correct matches from the following expressions.

Learn more about algebraic expressions here: https://brainly.com/question/2556810

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