find the square. (6m 7)^2 a. 36m^2 84m 49 b. 36m^2 84m – 49 c. 36m^2 42m – 49 d. 36m^2 – 84m 49
\((6m\pm7)^2=(6m)^2\pm2\cdot6m\cdot7+7^2=\boxed{36m^2\pm84m+49}\\\\Use:(a\pm b)^2=a^2\pm2ab+b^2\)
Answer:
Option a \((6m+ 7)^2=36m^2+49+84m\)
Option d \((6m- 7)^2=36m^2+49-84m\)
Step-by-step explanation:
Given : Expression - \((6m\pm7)^2\)
To find : The square of the given expression
Solution :
We have to solve \((6m\pm7)^2\)
Apply property : \((a\pm b)^2=a^2+b^2\pm 2ab\)
In the given expression \((6m\pm 7)^2\)
a=6m, b=7
The solution is
\((6m+7)^2=(6m)^2+(7)^2\pm 2(6m)(7)\)
\((6m+7)^2=36m^2+49\pm 84m\)
Therefore,
If the sign is '+' then Option a is correct.
If the sign is '-' then Option d is correct.