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(x+3)(x+2)To check this, use the 'FOIL' (first, outside, inside, last) method to ensure the answer is correct.x^2+2x+3x+6x^2+5x+6

x²+y²=25; y-3x=13; x²+(13+3x)²=25; x²+9x²+78x+169=25; 10x²+78x+144=0; 5x²+39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7...

dy/dx=(dy/dt)*(dt/dx); dy/dt=3+16t^-3; dx/dt=3(t-1)²; dt/dx=1/3(t-1)²; dy/dx=(3+16t^-3)/3(t-1)²

x³ - 6x² + 11x - 6 = 0
Let (x-a)(x-b)(x-c) = x³ - 6x² + 11x - 6=> abc = -6 and a + b + c = -6 From abc=-6, find the possibilities of their values: (1,2,...

Since this problem contains both xs and ys on the right hand side, we need to use implicit differentiation. This is where we use the chain rule to differentiate with regards to x the terms which contain y...