Show all work to factor x4 − 10x2 + 9 completely.
2 answers:
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a² - b² =(a+b)(a−b) where a=x and b=3.
(x+3)(x-3)(x+1)(x-1)
Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
x4-10x^2+9
Group expression so that the coefficients of the x^2 terms add up to +9.
= x^4 -9x^2 - x^2+9
match coefficients in both groups
= x^4 -9x^2 - (x^2-9)
factor each group
= x^2 (x^2-9) - 1(x^2-9)
now factor out the common factor (x^2-9)
= (x^2-1)(x^2-9)
Finally, factor each quadratic factor
= (x+1)(x-1)(x+3)(x-3)
You might be interested in
Answer:
Answer=C
Step-by-step explanation:
Answer:
onii chan zani moto veno . sain culoco naiso
Step-by-step explanation:zani nqqa quasetni onii san 4
Answer:
8
Step-by-step explanation:
1/6 of 12 is 2
12 - 2 = 10
1/5 of 10 is also 2
10 - 2 = 8
Tommy took 8 donuts to work.
No because 2 similar triangles have to meet one of the following conditions: 1. all sides are equal 2. 2 pair of equal sides & the angles between these sides are equal