Part A: Factor 3x2y2 − xy2 − 2y2. Show your work. (4 points) Part B: Factor x2 + 6x + 9. Show your work. (3 points) Part C: Factor x2 − 25. Show your work. (3 points)
Mathematics · Middle School · Tue Nov 03 2020
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Factor the following equations:
A. 3x^2 y^2 - xy^2 - 2y^2
We can factor the given expression by simply taking the common factor which is y^2.
= 3x^2 y^2 - xy^2 - 2y^2
= y^2 ( 3x^2 - x^2 - 2)
B. x^2 + 6x + 9
We can factor the given expression by simply applying the perfect square method, since we know that th equation is a perfect square.
= ( x + 3 )^2
C. x^2 - 25
In order to factor the number, we first transpose -25 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes. After transposing, we then take the square root of both sides in order to determine the value of x.
x^2 - 25
x^2 = 25
(x^2)^½ = (25)^½
x = 5