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3 years ago

Simplify the expression x^2+3x-28/x^2-7x+12

Mathematics

2 answers:

EleoNora [17]3 years ago

6 0

X^2 + 3x - 28 factors to (X+7)(X-4)
X^2 - 7X + 12 factors to (X-4)(X-3)
Now we see that the equation is [(X+7)(X-4)]/[(X-4)(X-3)]
By dividing the top and bottom by (X-4), we see that the equation equals (X+7)/(X-3).

Arlecino [84]3 years ago

6 0

Answer:

$\frac{x+7}{x-3}$ .

Step-by-step explanation:

We have been given an expression. We are asked to simplify our given expression.

$\frac{x^2+3x-28}{x^2-7x+12}$

Let us factor numerator and denominator by splitting the middle term.

$\frac{x^2+7x-4x-28}{x^2-4x-3x+12}$

$\frac{(x^2+7x)+(-4x-28)}{(x^2-4x)+(-3x+12)}$

Factor out GCF of each group:

$\frac{x(x+7)-4(x+7)}{x(x-4)-3(x-4)}$

$\frac{(x+7)(x-4)}{(x-4)(x-3)}$

Cancel out common factor $(x-4)$ :

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

Therefore, the simplified form of the given expression would be $\frac{x+7}{x-3}$ .

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kkurt [141]

Answer:

$(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}$

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1

If you have the expression:

$(x- \frac{2}{5})^{2}$

You can write the expression it in the following way:

$(x-\frac{2}{5})^{2}=(x-\frac{2}{5})(x-\frac{2}{5})$

Then, apply the distributive property:

$(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}$

Simplify the expression:

$(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})$

---------------------------------------------------------------------------------------

Method 2

For any expression of the form:

$(a-b)^2$

Its expanded form will be:

$(a-b)^2= a^2 -2ab + b^2$

$a = x$

$b =\frac{2}{5}$

$(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2$

$(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}$

3 0

3 years ago

Help me solve this question

irga5000 [103]

The correct answer is 1.

So, circle the 0 after the equals sign because the equation does not equal 0.

Anything raised by the power of 0 is 1.

This is known as the zero exponent rule :)

8 0

3 years ago

Simplity find the quotient and the remainder of (2x2+9x+8)÷(x+2)

Nuetrik [128]

That’s what I got I didn’t know how to type it so I just took a photo

8 0

3 years ago

A campground owner has 24002400 m of fencing. he wants to enclose a rectangular field bordering a river, with no fencing along

Free_Kalibri [48]

We define variables:
x = represent the width of the field
y = represent the length of the field
We write the perimeter (with no fencing along the river):
2400 = 2x + y
We clear y:
y = 2400-2x
Answer:
an expression for the length of the field as a function of x is:
y = 2400-2x

4 0

3 years ago

Find the solutions of the equation.

FromTheMoon [43]

Answer:

it is gonna be

Step-by-step explanation:

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sorry i dont know i need more points

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3 years ago