Solve 378+416quadtext{(b)}534+75+6quadtext{(c)}600+39+9

$$378 + 416 \quad \text { (b) } 534 + 75 + 6 \quad \text { (c) } 600 + 39 + 9$$

Evaluate

$$222144b+3600c+501$$

Solution Steps

Multiply 416 and 534 to get 222144.

$$378+222144b+75+6c\times 600+39+9$$

Add 378 and 75 to get 453.

$$453+222144b+6c\times 600+39+9$$

Multiply 6 and 600 to get 3600.

$$453+222144b+3600c+39+9$$

Add 453 and 39 to get 492.

$$492+222144b+3600c+9$$

Add 492 and 9 to get 501.

$$501+222144b+3600c$$

Factor

$$3\left(74048b+1200c+167\right)$$

Solution Steps

Factor out 3.

$$3\left(167+74048b+1200c\right)$$

Consider 126+74048b+25+1200c+13+3. Multiply and combine like terms.

$$74048b+1200c+167$$

Rewrite the complete factored expression.

$$3\left(74048b+1200c+167\right)$$