Use the binomial theorem to write the binomalexpadion (a +2b)^4

1 answer:

5 0

The binomial theorem for a binomial in the format (x + y) to the fourth power is

x⁴ + 4x³y + 6x²y² + 4xy³ + y⁴

So now we plug in for the x- and y-values

a⁴ + 4a³(2b) + 6a²(2b)² + 4a(2b)³ + (2b)⁴

Simplify this to become:

a⁴ + 8a³b + 6a²(4b²) + 4a(8b³) + 16b⁴

Now simplify to:

a⁴ + 8a³b + 24a²b² + 32ab³ + 16b⁴

You might be interested in

Solve by factoring the equation x^2+36=12x

Fudgin [204]

$x^2+36=12x\\\\x^2-12x+36=0\\\\x^2-6x-6x+36=0\\\\x(x-6)-6(x-6)=0\\\\(x-6)(x-6)=0\\\\(x-6)^2=0\iff x-6=0\Rightarrow\boxed{x=6}$

6 0

4 years ago

Please help, im super behind :(((

Verdich [7]

Answer:

the first one is a function! there are no repeated x values in a function

8 0

3 years ago

4a + 6b= 10 2a - 4b =12 what does 12a=

mixer [17]

4a + 6b = 10
2a - 4b = 12...multiply by -2
----------------
4a + 6b = 10
-4a + 8b = - 24 (result of multiplying by -2)
------------------add
14b = - 14
b = -14/14
b = -1

2a - 4b = 12
2a - 4(-1) = 12
2a + 4 = 12
2a = 12 - 4
2a = 8
a = 8/2
a = 4

so 12a = 12(4) = 48 <==

3 0

4 years ago

What’s the answer to 3x-6=7x+1

natita [175]

3x-6 = 7x +1
7x-3x= -(6+1)
4x=-7
x= -7/4

6 0

3 years ago

What is the slope of this line? A. 1 B. 3 C. -1 D. -3

Marysya12 [62]

the slope of this line is - 1

Answer

C. -1

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

7 0

4 years ago