Question

tell me don't spam who spammed I delete his / her answer definitely. ​

Answer 1

$\huge{ \mathcal \fcolorbox{black}{cyan} {Answer}}$

${25a}^{2} + 30a + 9$

${5}^{2} {a}^{2} + 30a + 9$

${25a}^{2} + 15a + 15a + 9$

Add up the first 2 terms, pulling out like factors :

5a • (5a+3)

Add up the last 2 terms, pulling out common factors :

3 • (5a+3)

Step-5 : Add up the four terms of step 4 :

(5a+3) • (5a+3)

Which is the desired factorization

Multiply (5a+3) by (5a+3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

Final result is

${5a + 3}^{2}$

All can be solved by the same way,just take care of signs and please ask one question at a time.

Hope it helps

Happy Birthday in advance