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Levart [38]
3 years ago
9

Justify each step used to simplify the expression. 1. 3x+2y-2x+3=3x-2x+2y+22. =(3x-2x)+2y+23. =(3-2)x+2y+24. =x+2y+2

Mathematics
1 answer:
podryga [215]3 years ago
6 0

We have to simplify the given expression:

1. 3x+2y-2x+2

Combining the like terms,we get the second step as

2. (3x-2x)+(2y)+(2)

Now, taking 'x' common from the first two terms, we get third step as:

3. (3-2)x+2y+2

Now, simplifying the expressions among the like terms, we get fourth step as:

4. x+2y+2

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xxTIMURxx [149]

Answer:

(0, 12 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (- 5, - 3)

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4 0
3 years ago
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docker41 [41]

Answer:

\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1

Step-by-step explanation:

<u>a) (x2 - 4)/(x + 2)</u>

We can simply use factorization to solve the given question.

Here the first term will be numerator and second term will be denominator.

We will factorize the numerator.

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\frac{x^2-4}{x+2}

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\frac{x^2-4}{x+2}\\= \frac{(x^2)-(2)^2}{x+2}\\=\frac{(x+2)(x-2)}{x+2}\\= x-2

<u>b) (4x2 - 1) / (2x + 1)​</u>

We can simply use factorization to solve the given question.

Here the first term will be numerator and second term will be denominator.

We will factorize the numerator.

\frac{4x^2-1}{2x+1}

Using formula, a^2+b^2 = (a+b)(a-b)

= \frac{(2x)^2-(1)^2}{2x+1}\\=\frac{(2x+1)(2x-1)}{2x+1}\\= 2x-1

Hence,

\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1

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Step-by-step explanation:

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