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Mila [183]
3 years ago
12

Expand and simplify

x-2)^{2} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

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

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
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A car’s original price was $26,500. Mr. Thomas paid $19,610. What percent discount did Mr. Thomas receive on the car?
geniusboy [140]
26,500 - 19,610 = 6,890

6,890 would be your price discount, but now you'd have to find your percent discount. Make it into an equation to make things easier.

6,890/26,500 = p/100

(6,890*100)/26,500 = p

6,890*100 = 689,000

689,000/26,500 = 26

The price discount would be 26%.
4 0
3 years ago
What equation is equivalent to 3(2x-5)=4(x+3)
Thepotemich [5.8K]

Answer:

6x-15 = 4x+12

Step-by-step explanation:

3*2x = 6x

3*-5 = -15

4*x=4x

4*3=12

6x-15 = 4x+12

4 0
3 years ago
Read 2 more answers
Which point is located in Quadrant ll
katrin [286]

Answer:

(4,5)

Step-by-step explanation:

If you count the quadrants 1 and 2

                                            3 and 4

3 0
2 years ago
Read 2 more answers
The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
To factor 8x² + bx + 3, a student correctly rewrites the trinomial as 8x^2 +px+qx+3. What is the value of pq?
lidiya [134]
It is  because it is 2*8(8-8)
4 0
3 years ago
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