Substituting 3165

Determine the value of the expression by substituting for the variables a = 5, b = 2, x = 3, y = 1:

k = 4ab + 1/2 ab - 14
l = x² + 2xy + y²
m = 5b³ - 4b²

Correct answer:

k =  31
l =  16
m =  24

Step-by-step explanation:

$$\begin{gathered} a=5 \\ b=2 \\ x=3 \\ y=1 \\ k=4\cdot a\cdot b+1/2\cdot a\cdot b-14=4\cdot 5\cdot 2+1/2\cdot 5\cdot 2-14=31 \end{gathered}$$

$l=x^2+2\cdot x\cdot y+y^2=3^2+2\cdot 3\cdot 1+1^2=16$

$m=5\cdot b^3-4\cdot b^2=5\cdot 2^3-4\cdot 2^2=24$

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