Question

in each case, find whether the trinomial is a
periect square or not:
1 .) x2+14x+49
2.) a2-10a+25
3.) 4x2+4x+1
4.)9b2+12b+16
5.)16x2-16xy+y2
6.) x2-4x+16

answers with steps and whoever gives me the best answer I'll make them the brainliest please guys fast it would help a lot​

Answer 1

Answer:

1.) x2+14x+49

x^2+ 2(x)7+7^2

(x+7)^2

2.) a2-10a+25

a^2- 2(a)5 + 5^2

(a-5)^2

3.) 4x2+4x+1

(2x)^2+2(2x)1 + 1^2

(2x+1)^2

4.)9b2+12b+16

( 3b)^2+2(3b)2 + 4^2 it is not perfect square.

Making it perfect

[(3b)^2+2(3b)2+ 2^2+12]

[(3b+2)^2+12]

5.)16x2-16xy+y2

(4x)^2- 2(4x)(y)2 + y^2 it is also not a perfect square

6.) x2-4x+16

x^2- 2(x)(2) + 4^2

It is also not a perfect sqaure

Making it perfect

x^2-2(x)(2) + 2^2+12

(x-2)^2+12