book Maths Puzzle Numerical Ability

Find a basis for the subspace R^4 consisting of all vactors of the form (a + b, b+c, a-b-2c, b + c), what is the dimesion of the subspace?

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book Other Question

4/2n >_8 Multipy the rational expression. Simplify the result.

(x^2 - 2x/x^2 + 2x + 1) * (x^2 + 4x + 3/x^2 + 3x)