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Which of the following represents the statement "the sum of the squares of x and y is equal to the square root of the difference of x and y" ?
A. x^2 + y^2 =
B. x^2 − y^2 =
C. (x + y)^2 =
D. = (x − y)2
Read & Evaluate the question it states to use the "sum" so you will begin by adding. You will add the "squares of x and y"
Being that you will add x^2 +y^2 that has to be in the equation or answer choice so any choice that doesn't have that you can Eliminate. So
that only leaves one choice A.
Instead of trying to instantly solve the problem we Read & Evaluated and solved partial of the problem and then Eliminated choices that weren't included in the answer we got so far.
If a=-2, then a + a^2 -a^3 +a^4 -a^5=
A.)-22
B.)-18
c.)32
D.58
How To Solve Problem
You solve this by plugging in the number given for (a) in the expression to find the value :-2+(-2)^2-(-2)^3+(-2)^4-(-2)^5.
Mnemonic Device
Value plugged in or (a)
Remember "PEMDAS" the order of operations:the first thing to do here is deal with the exponents, then we can take care of the addition and subtraction -2+4-(-8)+16-(-32), which simplfies to -2+4+8+16+32=58. Which is answer (D).
Read & Evaluate and the first thing you have to do is substitute or plug in the given value which was -2.
The second strategy to solving this problem efficiently was to use PEMDAS a mneomic device that
lets us know which order in which we solve the problem.
Instead of trying to instantly solve the problem we Read & Evaluated and solved partial of the problem and then Eliminated choices that weren't included in the choices.