exam Maths Puzzle Numerical Ability

I need help factoring a polynomial please...I can do it with numbers, but the letters through me off.
a+a^2b^2+a^3b^3

Thanks for your help.

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exam Other Question

Solve the folowing system.
x - y = 1
x + y = 1
My question is if the vertex of f(x)=-x^2+bx+8 has y-coordinate 17 and is in the second quadrant, find b.