OMG PLEASE HELP DOG

1. What 3 things must be true for a binomial to be a difference of squares?

2. How do you determine the square root of a term whose variable(s) have exponents greater than 2?

3. Is this a difference of squares? Show your work and explain. 64v^4 − 225w^10

1.

The 2 terms must be perfect squares.

One or both terms could be a constant.

The exponents could be an even number other than 2.

2.

You divide the exponent by 2.

:For example, The square root of x^4 is  x^(4/2) = x^2.

3.

The general form for the difference of 2 squares is:

a^2 - b^2 = (a - b)(a + b).

So

64v^4 - 225w^10   is  a difference of 2 squares:

The 2 terms have square roots 8v^2 and 15w^5 respectively.

64v^4 - 225w^10 = (8v^2 - 15w^5)(8v^2 + 15w^5).

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function

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