7) Use distributive property 3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x² 8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms. (5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x 9)(x-2)(3x-4)=x*3x-4x-6x+8=3x²-10x+8 10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36 For (x+6)², you can also use the formula of the perfect square (a+b)²=a²+2ab+b² For (x+6)² =x²+2*x*6 +6²=x²+12x+36
