Add $2 a + 3 b + c + d, - a + b - c - d$ and $3 a - 4 b - 2 c - 2 d$ . [3 MARKS]

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Solution

Forming the equation : 1 Mark
Steps : 1 Mark
Result : 1 Mark

$(2 a + 3 b + c + d) + (- a + b - c - d) + (3 a - 4 b - 2 c - 2 d)$

$2 a + 3 b + c + d - a + b - c - d + 3 a - 4 b - 2 c - 2 d$

$2 a - a + 3 a + 3 b + b - 4 b + c - c - 2 c + d - d - 2 d$

$4 a + 0 b - 2 c - 2 d$

Sum $= 4 a - 2 c - 2 d$

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Add $2 a + 3 b + c + d, - a + b - c - d$ and $3 a - 4 b - 2 c - 2 d$ . Find the value of the final expression if a=2, b=3, c=4, d=5. [3 MARKS]

3 a - 4 b + 4 c, 2 a + 3 b - 8 c, a - 6 b + c

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∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} a & b & c & d a & a + b & a + b + c & a + b + c + d a & 2 a + b & 3 a + 2 b + c & 4 a + 3 b + 2 c + d a & 3 a + b & 6 a + 3 b + c & 10 a + 6 b + 3 c + d \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣

a^{4}

a, b, c, d

2 a + 3 d : 3 a - 4 d = 2 a^{3} + 3 b^{3} : 3 a^{3} - 4 b^{3}

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