Factor 25a2 - 100? user: 25a^2 - 100 factor

Factor 25 out of 25a^2−100.

Factor 25 out of 25a^2.

25(a^2)−100

Factor 25 out of −100.

25a^2+25⋅−4

Factor 25 out of 25a^2+25⋅−4.

25(a^2−4)

Rewrite 4 as 2^2.

25(a^2−2^2)

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, a^2−b^2=(a+b)(a−b) where a=a and b=2.

25((a+2)(a−2))

Remove unnecessary parentheses.

25(a+2)(a−2)

I believe this is correct.

b

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)