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Crank
3 years ago
13

Expand (x-4)^4 with binomial theorem or pascal's triangle SHOW ALL STEPS!

Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Answer:

x^4 - 16x^3 + 96x^2 -256x + 256

Step-by-step explanation:

The coefficients of this using the pascal triangle is ;

1 4 6 4 1

Thus, we have that;

1(x^4•(-4)^0) + 4(x^3)(-4)^1 + 6(x^2)(-4^2) + 4(x^1)(-4)^3 + 1(x^0)(-4)^4

= x^4 - 16x^3 + 96x^2 -256x + 256

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Answer:

Area of rectangle = \mathbf{x^2-4x}

Perimeter of rectangle = \mathbf{4x-8}

Step-by-step explanation:

We are given:

Length of rectangle = x

Width of rectangle = x-4

We are not given if we want to find area of rectangle or perimeter of rectangle.

So, I will be finding both

Area of rectangle

The formula used is: Area\: of\: rectangle=Length \times Width

Putting values and finding area

Area\: of\: rectangle=Length \times Width\\Area\: of\: rectangle=x \times (x-4)\\Area\: of\: rectangle=x^2-4x

So, we get area of rectangle = \mathbf{x^2-4x}

Perimeter of rectangle

The formula used is: Perimeter \: of\: rectangle=2(Length+ Width)

Putting values and finding perimeter

Perimeter \: of\: rectangle=2(Length+ Width)\\Perimeter \: of\: rectangle=2(x+ x-4)\\Perimeter \: of\: rectangle=2(2x-4)\\Perimeter \: of\: rectangle=4x-8

So, we get perimeter of rectangle = \mathbf{4x-8}

I hope, it can help in solving the question.

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