Question

Pls answer it I wil give more points

Answer 1

See explanation

Explanation:

Use formulas

`(x+a)^2=x^2+2ax+a^2\\ \\(x-a)^2=x^2-2ax+a^2`

Then:

a.
`x^2+4x+3=x^2+2\cdot 2\cdot x+2^2-2^2+3=(x+2)^2-4+3=(x+2)^2-1`

b.
`x^2+8x-13=x^2+2\cdot 4\cdot x+4^2-4^2-13=(x+4)^2-16-13=(x+2)^2-29`

c.
`x^2+6x+5=x^2+2\cdot 3\cdot x+3^2-3^2+5=(x+3)^2-9+5=(x+3)^2-4`

d.
`x^2-4x+5=x^2-2\cdot 2\cdot x+2^2-2^2+5=(x-2)^2-4+5=(x-2)^2+1`

e.
`x^2-8x+9=x^2-2\cdot 4\cdot x+4^2-4^2+9=(x-4)^2-16+9=(x-4)^2-7`

f.
`x^2-2x-5=x^2-2\cdot 1\cdot x+1^2-1^2-5=(x-1)^2-1-5=(x-1)^2-6`