Factorising Quadratics to Combine Fractions

Factorising Quadratics to Combine Fractions

Secondary 2

Express \(\frac{x-2}{2{{x}^{2}}-x-6}+\frac{x}{2x+3}\) as a single fraction in its simplest form.

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Answer:\(\frac{x+1}{2x+3}\), where \(x\ne-\frac{3}{2},2\)

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