Prove that for all real values of xxx:
x2+4x>2x−4 x^2 + 4x > 2x - 4 x2+4x>2x−4"If I add 2 to a number and then square the sum, the result is greater than the square of the original number."
State, giving a reason, if the above statement is always true, sometimes true or never true.
40 exam-style questions on Edexcel AS Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.