$(9 m+11)^{2}$
A) $81 m^{2}+121$
B) $9 m^{2}+121$
C) $81 m^{2}+198 m+121$
D) $9 m^{2}+198 m+121$

Name: $(9 m+11)^{2}$ A) $81 m^{2}+121$ B) $9 m^{2}+121$ C) $81 m^{2}+198 m+121$ D) $9 m^{2}+198 m+121$
Brand: Quizplus
Rating: 4.8 (36 reviews)

Question

Quizplus · Accepted Answer

This is a case of squaring a binomial, which follows the formula $(a+b)^2 = a^2 + 2ab + b^2$. Applying this to $(9m+11)^2$, we get $81m^2 + 2(9m)(11) + 121$, which simplifies to $81m^2 + 198m + 121$.

(9m+11)2(9 m+11)^{2}(9m+11)2 A) 81m2+12181 m^{2}+12181m2+121 B) 9m2+1219 m^{2}+1219m2+121 C) 81m2+198m+12181 m^{2}+198 m+12181m2+198m+121 D) 9m2+198m+1219 m^{2}+198 m+1219m2+198m+121

$(9 m+11)^{2}$ A) $81 m^{2}+121$ B) $9 m^{2}+121$ C) $81 m^{2}+198 m+121$ D) $9 m^{2}+198 m+121$