Answer:
1. special
2. not
3.yes
4.yes
5.no
Step-by-step explanation:
1. [tex](x-6)^2= x^2-12x+36[/tex] here we use [tex](a-b)^2=a^2-2ab+b^2[/tex]. yes it is special
2. [tex](x+8)(x+1)=x^2+x+8x+8=x^2+9x+8[/tex] this is not special, so we multiply polynomials
3. [tex](3x+2)(3x+2)=(3x+2)^2=9x^2+12x+4[/tex] yes it is [tex](a+b)^2=a^2+2ab+b^2[/tex]
4. (2x-7)(2x+7) this is special product and we use this rule :
[tex](a-b)(a+b)=a^2-b^2[/tex]
So, [tex](2x-7)(2x+7)=4x^2-49[/tex]
5. (x-5)(2x-5) this is not special product and we need to multiply it :
[tex](x-5)(2x-5)=2x^2-5x-10x+25=2x^2-15x+25[/tex]
