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(x+2)(x-3)(x+4)^2 = (x^2 - x - 6)(x^2 + 8x + 16) = (x^4 + 8x^3 +16x^2 - x^3 - 8x^2 -16x - 6x^2 - 48x - 96) 

= x^4 +7x^3 + 2x^2 - 64x - 96)

When multiplying two same numbers with powers, we add the powers together. The answer of this question would be 2^16, which is also 65536.

To answer these questions, students must know the values of cos30 and tan60. If you don't know them off by heart, you can work them out using an equilateral triangle.

cos 30° = adj / hyp =...

x₁ = (-b + (b² - 4ac)^1/2)/2a and x₂ = (-b - (b² - 4ac)^1/2)/2a. So with the values a = 1, b = 3 and c = 2: x₁ = (-3 + (3^{2 <...}

x²+2x+1=0, (x+1)(x+1)=0, (x+1)²=0. So x=-1