Which expressions are equivalent to 4(4a+5)4(4a+5) ? choose 3 answers: choose 3 answers: (choice a, checked) a 16a + 516a+5 (choice b, checked) b 16a+2016a+20 (choice c) c 12a+20+4a12a+20+4a (choice d) d 2(8a+10)2(8a+10) (choice e) e 16a+5+416a+5+4

            B, C, D

Step-by-step explanation:

I understand that you question is:

Which expressions are equivalent to 4(4a+5)?

Choose 3 answers:

A 16a + 5

B 16a+20

C 12a+20+4a

D 2(8a+10)

E 16a+5+4

Then:

B, because:  

                  4(4a+5) = 4•4a + 4•5 = 16a + 20

{distributive law}

C, because:

                 4(4a+5) = 16a + 20 = 12a + 4a + 20 = 12a + 20 + 4a

{distributive and associative laws}

D, because:

                4(4a+5) = 2•2(4a+5) = 2[2(4a+5)] = 2(2•4a + 2•5) = 2(8a + 10)

{associative and distributive laws}

The required equivalent expressions for the expression 4(4a+5) are;

Correct question

Which expressions are equivalent to 4(4a+5)?

Choose 3 answers:

A 16a + 5

B 16a+20

C 12a+20+4a

D 2(8a+10)

E 16a+5+4

Given the expression 4(4a+5)

Given the values A, B, and C, according to the distributive law:

A(B+C) = AB + AC

Applying this to the given expression

4(4a+5)

= 4(4a) + 4(5)

= 16a + 20 (First expression)

Factoring out 2 from the result

16a + 20

= 2(8a) + 2(10)

= 2(8a + 10) (Second expression)

Rewriting equation 1

From 1; 16a + 20

16a + 20

= (12a+4a) + 20

= 12a + 20 + 4a (Third expression)

Hence the required equivalent expressions for the expression 4(4a+5) are;

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