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Which of the following is equivalent to ...

Which of the following is equivalent to the expression `(2x^(4)-5x^(4))^(2)?`

A

`-21x^(8)`

B

`-6x^(8)`

C

`9x^(8)`

D

`9x^(16)`

Text Solution

Verified by Experts

The correct Answer is:
C
Difficult: Easy
Category: Passport to Advanced Math/ Exponents
Strategic Advice: When a quantity is squared, don't immediately starting FOILing. Look for like terms that you can combine first. Then follow the rules of exponents or use repeated multiplication to evaluate the power.
Getting to the Answer: If you examine the expression carefully, you'll see that you can combine the two inside the paretheses and then square the result.:

The answer is (C).
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Knowledge Check

  • Which of the following is equivalent to the expression x^4-x^3-x^2 ?

    A
    `x(x^2-x-1)`
    B
    `x(x-x^2-x^3)`
    C
    `x(x^3-x^2)`
    D
    `x^2(x^2-x-1)`

  • Which of the following is equivalent to the expressions (7x-4)/(x+9) ?

    A
    `7-(4)/(x+9)`
    B
    `7-(67)/(x+9)`
    C
    `7-(4x)/(9)`
    D
    `(7-4x)/(9)`

  • Which of the following is equivalent to the expression ((6+3i)/(2)-(7+4i)/(3))^(2) ?

    A
    `(13+7i)/(6)`
    B
    `(14+8i)/(6)`
    C
    `(4-i)/(36)`
    D
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