Expand and simplify: (4x-7)(2x+3), (x+12)^2
Expanding (4x-7)(2x+3):
= 4x(2x) + 4x(3) - 7(2x) - 7(3)
= 8x^2 + 12x - 14x - 21
= 8x^2 - 2x - 21
Expanding (x+12)^2:
= (x+12)(x+12)
= x(x) + x(12) + 12(x) + 12(12)
= x^2 + 12x + 12x + 144
= x^2 + 24x + 144