Question

Factorise the following: 4m²+8m+4​

Answer 1

Answer:

4(m+1) ²

Step-by-step explanation:

use mid term splitting / perfect square formation

Answer 2

• As per the data given in the question, we have to find the value of the expression.

Given data:- $4m^{2} +8m+4.$

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 (=0).

Step 2: Factorise the quadratic.

Step 3: Form two linear equations.

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

Therefore,

         $4m^{2} +8m+4\\4(m^{2} +2m+1)\\4(m^{2} +m+m+1)\\4(m(m+1)+m+1)\\4(m+1)(m+1)\\4(m+1)^{2}$

Hence we will get the factor that is $4(m+1)^{2} .$