Simplify \( [1 \div (x^2 + 3x + 2)] + [1 \div (x^2 + 5x + 6)] \)

Assessment: JAMB UTME - Mathematics - 2015 Subject: General Mathematics

Question 1 Report

\frac{2}{(x + 1)^{2}}

\frac{2}{(x + 1) (x + 2}

2/((x + 2)(x + 3))

\frac{2}{(x + 1) (x + 3}

Answer Details

[1 \div (x^{2} + 3 x + 2)] + [1 \div (x^{2} + 5 x + 6)]

1 \div (x^{2} + 3 x + 2) + [1 \div (x^{2} + 5 x + 6)]

[1 \div ((x^{2} + x) + (2 x + 2))] + [1 \div ((x^{2} + 3 x) + (2 x + 6))]

= [1 ÷ (x(x + 2) + 2(x +1))] + [1 ÷ (x(x + 3) +2(x + 3) )]
= [1 ÷ (x + 1)(x + 2)] + [1 ÷ ((x + 3) + (x + 2))]
=((x + 3) + (x + 1)) ÷ (x + 1)(x + 2)(x + 3)
Using the L.C.M
=((x + x + 3 + 1)) ÷ (x + 1)(x + 2)(x + 3)
=(2x+4)/(x+1)(x+2)(x+3) =2(x+2)/(x+1)(x+2)(x+3)
=

\frac{2}{(x + 1) (x + 3)}

Read lesson note on Algebraic Fractions (WAEC)

Algebraic Fractions

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Simplify \( [1 \div (x^2 + 3x + 2)] + [1 \div (x^2 + 5x + 6)] \)

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