Question

Factorise a^2 - 64 factorise ​

Answer 1

Answer:

a² - 64 = 0

a² = 64

a = +8

and

a = -8

Answer 2

• We have to evaluate the above expression by using the given data.

              Given data:-$a^{2} -64.$

              To find:- Value of the expression.

              Solution:-

• We know that factorization means reducing any algebraic or quadratic equation.

• Steps to solve quadratic equations,

• Step 1: Rearrange the given quadratic so that is it equal to zero.

• Step 2: Factorise the quadratic.

• Step 3: Form two linear equations.

• Step 4: Solve the equations to find the roots of the equation.

        Therefore,

          $=>a^{2}-64 \\=>a^{2}+8 a-8 a-64\\=>a(a+8)-8(a+8) \\=>(a-8)(a+8).$

     Hence we will get the factor $a^{2} -64=(a-8)(a+8).$