Respuesta :
The solution to the provided expression using the difference of square formula of algebra is a=1.
What is the difference of squares formula?
The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,
a^2-b^2=(a+b)(a-b)
The given expression in the problem is,
[tex]15(2a - 2) = 5(a^2 -1)[/tex]
From the property of difference of square, the above equation can be written as,
[tex]15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)][/tex]
Divide both side of the equation with (a-1) as,
[tex]5\times2 = 5(a +1)[/tex]
Divide both side of the equation with number 5 as,
[tex]2 = (a +1)\\a=2-1\\a=1[/tex]
Hence, the solution to the provided expression using the difference of square method of algebra is a=1.
Learn more about the difference of square here;
https://brainly.com/question/1148545
The solutions to 15(2a – 2) = 5(a2 – 1) are:
a = 1, a = –1
a = 5, a = –1
a = 5, a = 1
Answer:
C. a = 5, a = 1
Step-by-step explanation:
