Question 1
[tex]6x+12=6 \times x + 6 \times 2 = 6(x+2)[/tex]
Question 2
[tex]A(x)=6x+12-(x+2)^2\\A(x)=6(x+2)-(x+2)(x+2)\\A(x)=(x+2)(6-(x+2))\\A(x)=(x+2)(6-x-2)\\A(x)=(x+2)(-x+4)[/tex]
Question 3
[tex]A(x)=(x+2)(-x+4)\\A(x)=x \times (-x) + x \times 4 + 2 \times (-x) + 2 \times 4\\A(x)=-x^2+4x-2x+8\\A(x)=-x^2+2x+8[/tex]
Question 4
[tex]A(-5)=-(-5)^2+2 \times (-5)+8\\A(-5)=-25-10+8\\A(-5)=-27[/tex]
