Question

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

Answer 1

$(6m\pm7)^2=(6m)^2\pm2\cdot6m\cdot7+7^2=\boxed{36m^2\pm84m+49}\\\\Use:(a\pm b)^2=a^2\pm2ab+b^2$

Answer 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.