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Mathematics
Sabine
29 July, 17:26
What are the
factors of the binomial
X² - 100?
+3
Answers (
2
)
Sara Tyler
29 July, 18:22
0
(x - 10) (x + 10)
Step-by-step explanation:
x^2 - 100 = (x - 10) (x + 10) <==
what u have here is a difference of squares ... x^2 is a perfect square (x) ^2 and 100 is a perfect square (10) ^2
u see : x^2 - 100 = (x) ^2 - (10) ^2 = (x - 10) (x + 10)
a^2 - b^2 = (a - b) (a + b)
now a difference of squares cannot be done if it was x^2 + 100
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Madeleine Powers
29 July, 19:43
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Answer: (x + 10) (x - 10)
Step-by-step explanation: In this problem, we have a binomial that's the difference of two squares because x² and 100 are both perfect squares and we are subtracting these two squares.
So we set up our two binomials and in the first position we have x · x. In the second position, we use + 10 and - 10 as our factors of - 100.
So our answer is (x + 10) (x - 10).
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