(2m-1)*(2m+1)-4m^2-এর সমাধান করুন

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

Evaluate

$$-1$$

Solution Steps

Consider \left(2m-1\right)\left(2m+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.

$$\left(2m\right)^{2}-1-4m^{2}$$

Expand \left(2m\right)^{2}.

$$2^{2}m^{2}-1-4m^{2}$$

Calculate 2 to the power of 2 and get 4.

$$4m^{2}-1-4m^{2}$$

Combine 4m^{2} and -4m^{2} to get 0.

$$-1$$

Factor

$$-1$$