Question

Solve for x using factorization method 4x2−(4ax−a2+b2)=0 ​

Answer 1

By Factorization, the values of x are a+b/2 and a-b/2

What is Factorization?

Factorization is an algebraic simplification process that involves taking out the common factors of a given Algebraic expression.

Analysis:

4$x^{2}$ -(4ax - $a^{2}$+ $b^{2}$) = 0

4$x^{2}$ -4ax +  $a^{2}$ -$b^{2}$ = 0

4$x^{2}$  -2ax -2ax +  $a^{2}$ -b2 = 0

2x(2x-a) -a(2x -a) -  $b^{2}$ = 0

(2x-a)(2x-a) - $b^{2}$ = 0

$(2x-a)^{2}$ -  $b^{2}$ = 0

difference of two squares

((2x-a) + b)((2x-a - b) =0

2x -a + b = 0 or 2x -a - b = 0

2x = a - b or 2x = a + b

x = a-b/2 or a + b/2

In conclusion, the values of x are a-b/2 and a+b/2.

Learn more about factorization of algebraic equations: brainly.com/question/9781037

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