Evaluate Using the Given Value c^2d+3cd^2 ; if c=0.3 and d=0.1

$c^{2} d + 3 c d^{2}$ ; if $c = 0.3$ and $d = 0.1$

Step 1

Replace the variable $c$ with $0.3$ in the expression.

${(0.3)}^{2} d + 3 (0.3) \cdot d^{2}$

Step 2

Replace the variable $d$ with $0.1$ in the expression.

${(0.3)}^{2} (0.1) + 3 (0.3) \cdot {(0.1)}^{2}$

Step 3

Simplify each term.

Raise $0.3$ to the power of $2$ .

$0.09 \cdot 0.1 + 3 (0.3) \cdot {(0.1)}^{2}$

Multiply $0.09$ by $0.1$ .

$0.009 + 3 (0.3) \cdot {(0.1)}^{2}$

Multiply $3$ by $0.3$ .

$0.009 + 0.9 \cdot {(0.1)}^{2}$

Raise $0.1$ to the power of $2$ .

$0.009 + 0.9 \cdot 0.01$

Multiply $0.9$ by $0.01$ .

$0.009 + 0.009$

Step 4

Add $0.009$ and $0.009$ .

$0.018$