Question

Please helpppppppppp

Answer 1

Answer:

A = 6k^2 + 36

Step-by-step explanation:

6k^2 - 36k k^2 + 12k + 36

--------------- × -------------------- = 1

A k^2 - 36

6k ( k - 6) ( k + 6) ( k + 6)

--------------- × --------------------- = 1

A (k - 6) (k +6)

6k ( k + 6)

-------------- = 1

A

When cross multiplied:

A = 6k ( k + 6)

A = 6k^2 + 36

Answer 2

The answer is $a=6k(k+6)$

Step-by-step explanation: use Square of Sum $(a+b)^2=a^2+2ab+b^2$ and use Difference of Squares $a^2-b^2=(a+b)(a-b)$.

$\frac{6k^2-36k}{a}*\frac{k^2+12k+36}{k^2-36} =1$ factor out the common term 6k

$\frac{6k(k-6)}{a}*\frac{k^2+12k+36}{k^2-36}=1\\\\\frac{6k(k-6)}{a}*\frac{k^2+2(k)(6)+6^2}{k^2-36}=1$ use Square of Sum then Difference of Squares

$\frac{6k(k-6)}{a}+\frac{(k+6)^2}{(k^2-36)} =1\\\\\frac{6k(k-6)}{a}+\frac{(k+6)^2}{(k+6)(k-6)} =1$ cancel k-6 then use the rule a/b*c/d=ac/bd

$\frac{6k}{a}*\frac{(k+6)^2}{k+6} =1\\\\\frac{6k(k+6)^2}{a(k+6)} =1\\\\\frac{6k(k+6)}{a}=1\\\\6k(k+a)=a\\\\a=6k(k+6)$

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤