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Differences of Squares (and other even powers) ?
A square monomial is a monomial which is the square of another monomial. Here are some examples:25 is the square of 5x2 is the square of xx4y6 is the square of x2y325x4y6 is the square of 5x2y3
How do you know if a monomial is a square? It's easy. It's a square if
1. the coefficient is a perfect square (which, by the way, means it can't be negative) and 2. all the exponents on the variables are even.
Remember that the word difference means subtraction. So here's an example of a difference of squares: 25 - 4x2.(Notice that 25 is a perfect square, and so is 4x2.)Factoring a difference of squares is easy.
Step 1: Rewrite the two terms as squares of something.25 - 4x2= 52 - (2x)2 Step 2: Apply the rule a2 - b2 = (a -b )(a + b).
= (5 -2x)(5 + 2x)
Example Find the Highest Common Factor of 54, 72 and 150. First we consider 54 and 72. The HCF for these two quantities is calculated as follows:
PROOF OF VARIOUS INTEGRAL FACTS/FORMULAS/PROPERTIES In this section we've found the proof of several of the properties we saw in the Integrals section and also a couple from t
Q. What is Combination Formula? Ans. The difference between combinations and permutations is that permutations take ordering into consideration, whereas combinations do no
modular arithematic
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(3+x)(3-x)
If the squared difference of the zeros of the quadratic polynomial x 2 + p x + 45 is equal to 144 , find the value of p.
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