What is the factored form of 2x^2-200
2 answers:
Answer:
2 (x - 10) (x + 10)
Step-by-step explanation:
Factor the following:
2 x^2 - 200
Factor 2 out of 2 x^2 - 200:
2 (x^2 - 100)
x^2 - 100 = x^2 - 10^2:
2 (x^2 - 10^2)
Factor the difference of two squares. x^2 - 10^2 = (x - 10) (x + 10):
Answer: 2 (x - 10) (x + 10)
Find the Greatest Common Factor (GCF)
GCF = 2
Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2(2x^2/2 - 200/2)
Simplify each term in parenthesis
2(x^2 - 100)
Rewrite x^2 - 100 in the form; a^2 - b^2, where a = x and b = 10
2(x^2 - 10^2)
Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)
<u>2(x + 10)(x - 10) </u>
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