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Identify Properties Used in
each step in re-writing
the polynomial
expression below.
(x+5)+3 (a +(6x) y)+ (x+5)
Step 1:3(a+ 16x) y) + (x+5)
Step 2:3(a +y(16x)) + (x+5)
Step 3:3a+ y 18x + (x+5)

Respuesta :

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The question is:

Identify properties used in each step in rewriting the polynomial expression below:

  • (x + 5) + 3(a + (6x)y)

Step 1: (5 + x) + 3(a + (6x)y)

Step 2: 5 + (x + 3(a + (6x)y)

Step 3: 5 + (x + 3a + (18x)y)

Step 4: 5 + (x + 3a +18xy)

Answer:

See below

Explanation:

Step                                   Property and its explanation

Step 1:

[tex](5+x)+3(a+(6x)y)[/tex]           Given: this is just the starting expression

Step 2:

[tex]5+(x+3(a+(6x)y)[/tex]          Associative property of addition:

                                            the variable x was associated with the

                                            expression to its right

Step 3:

[tex]5+(x+3a+(18x)y)[/tex]           Distributive property of multiplication over

                                              addtition: the number 3 was multiplied by

                                              each term inside to the parenthesis

Step 4:

[tex]5+ (x+3a+18xy)[/tex]             Simplification: the product (18x)y was

                                             solved

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