3 years ago

Can someone please help me Factor 4x^2 - 81

Mathematics

2 answers:

Oduvanchick [21]3 years ago

6 0

The answer is (2x-9)(2x+9)

4x^2-81
2^2 x^2-9^2
(2x)^2-9^2
(2x-9)(2x+9)

Vsevolod [243]3 years ago

3 0

Answer:

(2x-9)(2x+9)

Step-by-step explanation:

This is a difference of squares because it can be written as (2x)^2-9^2

The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)

So replace a with 2x and b with 9 giving us

4x^2-81=(2x-9)(2x+9)

You might be interested in

Solve for x. 5x−2(x+1)=1/4 <br><br> Enter your answer as a fraction in simplest form.

kondaur [170]

Answer:

x= 3/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x−2(x+1)= 1 /4

5x+(−2)(x)+(−2)(1)= 1 /4

(Distribute)

5x+−2x+−2= 1 /4

(5x+−2x)+(−2)= 1 /4

(Combine Like Terms)

3x+−2= 1 /4

3x−2=1 /4

Step 2: Add 2 to both sides.

3x−2+2= 1 /4 +2

3x= 9 /4

Step 3: Divide both sides by 3.

3x/ 3 = 9 /4 /3

x= 3 /4

6 0

3 years ago

Read 2 more answers

Find the value for x and y for the triangle. Show work.

HACTEHA [7]

Answer:x= 8/√3, y= 16/ √3

Step-by-step explanation:

See the picture below

4 0

2 years ago

The social science that deal with the behavior and thinking of organisms <br> Yes

LUCKY_DIMON [66]

I think it's psychology.

6 0

3 years ago

Read 2 more answers

The length of the art table is 2 meters. The width is 1 meter. If Ms.Buji wants to cover the top of the table with paper. How ma

NeTakaya

The answer for this is 2 square meters

3 0

3 years ago

Nestlé water pumps 1.2 million gallons per day out of G. Springs to put in bottles.

Delicious77 [7]

Answer:

3.2×10⁷ liters/week

Step-by-step explanation:

$\dfrac{1.2\cdot 10^6\,gal}{1\,day}\cdot\dfrac{7\,day}{1\,week}\cdot\dfrac{8\,pint}{1\,gal}\cdot\dfrac{1\,L}{2.11\,pint}=\dfrac{1.2\cdot 10^6\cdot 7\cdot 8\,L}{2.11\,week}\\\\\approx 3.2\cdot 10^7\,\dfrac{L}{week}$

5 0

2 years ago

Read 2 more answers