Question 1
[tex]E=16x^2-24x+9\\E=(4x)^2-2 \times 4x \times 3 + 3^2\\E=(4x-3)^2[/tex]
[tex]F=25x^2-81\\F=(5x)^2-9^2\\F=(5x-9)(5x+9)[/tex]
[tex]G=12x^2-6x\\G = 6x \times 2x - 6x \times 1\\G=6x(2x-1)[/tex]
Question 2a
[tex]A(-1)=(9 \times (-1)+2)^2-49\\A(-1)=(-9+2)^2-49\\A(-1)=(-7)^2-49\\A(-1)=49-49\\A(-1)=0[/tex]
Question 2b
[tex]A(x)=(9x+2)^2-49\\A(x)=(9x)^2+2 \times 9x \times 2 + 2^2-49\\A(x)=81x^2+36x+4-49\\A(x)=81x^2+36x-45[/tex]
Question 2c
[tex]A(x)=(9x+2)^2-49\\A(x)=(9x+2)^2-7^2\\A(x)=(9x+2-7)(9x+2+7)\\A(x)=(9x-5)(9x+9)\\A(x)=9(9x-5)(x+1)[/tex]
