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UkoKoshka [18]
3 years ago
9

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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Algebra one math please help
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30 is the answer because 30*25=750
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3 years ago
3.5 and 3 write a quadratic equation with each pair of values as roots
VLD [36.1K]

Hello from MrBillDoesMath!

Answer:  x^2 - 6.5x + 10.5 = 0

Discussion:

If the roots are 3 and 3.5, then the quadratic equation is

(x -3 ) ( x - 3.5) = 0

or

x * (x - 3.5) - 3 (x - 3.5) = 0

or

X^2 - 3.5X - 3X + 3(3.5) = 0

or

x^2 - 6.5x + 10.5 = 0



Thank you,

MrB

7 0
4 years ago
Please help! I don’t know how to make the square roots equal to each other but I understand the other steps... kind of.
katovenus [111]

Answer:

Step-by-step explanation:

4 0
3 years ago
Help as soon as possible pleaseee
KiRa [710]

Answer:

(3x + 2)(x-4)

Step-by-step explanation:

3x² - 10x - 8 = 0

(splitting the middle term)

3x² -12x + 2x -8 = 0

3x(x-4) + 2(x-4) = 0

(3x + 2)(x-4) = 0

(3x + 2)(x-4) is the correct answer (option a)

3 0
3 years ago
Read 2 more answers
Simplify the expression below. 3x^2 - 5x^2 + 4x^2 <br><br> (Please explain how you get the answer)
Talja [164]

Answer:

The answer is -4x^2

Step-by-step explanation:

-3x^2 - 5x^2 + 4x^2

= -3x^2 + -5x^2 + 4x^2

Combine like terms:

-3x^2 + -5x^2 + 4x^2

(-3x^2 + -5x^2 + 4x^2)

= -4x^2

4 0
3 years ago
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