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3 years ago

What is the completely factored form of p4 – 16?

Mathematics

2 answers:

Svetlanka [38]3 years ago

8 0

Answer:

(p+2)(p-2)(p²+4)

Step-by-step explanation:

The binomial p⁴-16 is a difference of squares. This is because p⁴ is a perfect square, as is 16. This means we can write it as the sum of the square roots multiplied by the difference of the square roots:

(p²+4)(p²-4)

The first binomial, p²+4, cannot be factored any further.

The second binomial, p²-4, is another difference of squares, since p² is a perfect square, as is 4:

(p+2)(p-2)

This gives us

(p²+4)(p+2)(p-2)

hjlf3 years ago

8 0

It's D. (P-2)(P+2)(P^2+4)

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2 years ago

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3 years ago

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What is the value of the expression

Y_Kistochka [10]

Answer:

0.8

Step-by-step explanation:

We begin with the expression: $0.5+(-\frac{3}{4} )+0.25-(-\frac{4}{5} )$

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3 years ago

The length of a rectangle is 6 in longer than its width.if the perimeter of the rectangle is 68in find the length and width ?

wel

The length and the width of the rectangle are 20 and 14 inches respectively

<h3>How to find the length and width?</h3>

The given parameters are:

Length = 6 + Width

Perimeter = 68 inches

The perimeter of a rectangle is calculated as:

Perimeter = 2 * (Length + Width)

So, we have:

2 * (Length + Width) = 68

Divide both sides by 2

Length + Width = 34

Substitute Length = 6 + Width in Length + Width = 34

6 + Width + Width = 34

Evaluate the like terms

2 * Width = 28

Divide both sides by 2

Width = 14

Substitute Width = 14 in Length = 6 + Width

Length = 6 + 14

Evaluate

Length = 20

Hence, the length and the width of the rectangle are 20 and 14 inches respectively