(11m+3)(11m-3)-এর সমাধান করুন

$$( 11 m + 3 ) ( 11 m - 3 )$$

Evaluate

$$121m^{2}-9$$

Solution Steps

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

$$\left(11m\right)^{2}-3^{2}$$

Expand \left(11m\right)^{2}.

$$11^{2}m^{2}-3^{2}$$

Calculate 11 to the power of 2 and get 121.

$$121m^{2}-3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$121m^{2}-9$$

Expand

$$121m^{2}-9$$

Solution Steps

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

$$\left(11m\right)^{2}-3^{2}$$

Expand \left(11m\right)^{2}.

$$11^{2}m^{2}-3^{2}$$

Calculate 11 to the power of 2 and get 121.

$$121m^{2}-3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$121m^{2}-9$$