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Luba_88 [7]
3 years ago
13

Simplify x²-49/3x+21

Mathematics
2 answers:
victus00 [196]3 years ago
5 0
x^2-49=x^2-7^2=(x-7)(x+7)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)\\\\3x+21=3\cdot x+3\cdot7=3(x+7)\\\\\dfrac{x^2-49}{3x+21}=\dfrac{(x-7)(x+7)}{3(x+7)}=\dfrac{x-7}{3}
Vera_Pavlovna [14]3 years ago
3 0
First, you factor and simplify (respectively) the numerator and denominator. Your equation becomes:

\frac{(x-7)(x+7)}{3(x + 7)}

Notice, there is a (x + 7) on both the top and the bottom. Because of this, they cancel each other out. What is left is your answer:

\frac{(x-7)}{3}

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Because of the commutative property of multiplication 3/4X4=4X3/4 However these expressions can be calculated in different ways
elena55 [62]

Answer:

We obtain same product by both the methods.  

Step-by-step explanation:

We are given the following in the question:

Commutative property of multiplication:

\dfrac{3}{4}\times 4  =4\times \dfrac{3}{4}

Different ways to find the product:

1. First way

\dfrac{3}{4}\times 4\\\\=3\times \dfrac{4}{4}\\\\=3

2. Second way

\dfrac{3}{4}\times 4\\\\=\dfrac{12}{4}\\\\=3

We get the same product for both the calculations.

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3 years ago
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GalinKa [24]

Answer:

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Step-by-step explanation:

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3 years ago
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Aleksandr-060686 [28]

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Step-by-step explanation:

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vfiekz [6]

Answer:

It's asking you to find the inputs of the function.

Step-by-step explanation:

Basically, when you input something, you replace "x" in the equation with the number you want to input. For example, if I had the equation: 5x/6+5, then I wanted to input "5", then 5 would replace x in the equation, making 5(5)/6+5. The output they are giving you is simply evaluating the equation that you used to input x, so basically in the case I gave you, the output would be 5(5)/6+5, or 25/6+5, and 55/6. Using the outputs, they want you to find the inputs.

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