Use the Distributive property to factor the expression 8x + 64 = 8(x + ?)

Mathematics

2 answers:

Arisa [49]3 years ago

5 0

Answer:

8(x+8)

8 x 8 = 64

Elodia [21]3 years ago

4 0

Answer:

? = 8

Step-by-step explanation:

The following expression is given: 8x + 64

In this case, they factored out 8. Divide 8 from all terms in the expression:

(8x + 64)/8 =

(8x)/8 = x

(64)/8 = 8

8(x + 8) is the answer to the expression.

The number for ? is 8.

8 is therefore your answer.

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Write an expression using the distributive property that can be used to find the quotient of 126 divided by 7

mina [271]

Well, let's discover how many times 7 goes into 126 first.

7 x 11 = 77
7 x 12 = 84
7 x 13 = 91
7 x 14 = 98
7 x 15 = 105
7 x 16 = 112
7 x 17 = 119
7 x 18 = 126

Well, 7 goes into 126 - 18 times - therefore the quotient is 18. The use of the distributive property wouldn't be necessary.

Nevertheless, you could say that:

$\frac { 126 }{ 14 } \\ \\ =\frac { 140-14 }{ 7 } \\ \\ =\frac { 140 }{ 7 } -\frac { 14 }{ 7 } \\ \\ =20-2\\ \\ =18$

* I've used the distributive property above.

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