Four times the square of a number increased by five times the same number

Here we have to configure an algebraic expression from the information.

Let us do it step by step as follow:

Step 1:

let us say the number is x.

square of the number will be x²

Step 2:

four times square of the number , here we multiply the expression found above with 4 to get 4*x²

Step 3:

five times the same number will be 5x

Step 4:

now we relate the expression of step 2 and 3 with the given information as

the expression found in step 2 is increased by the expression found in step 3, by increased here we mean adding the two expressions.

so our final expression would be:

4x² +5x

step-by-step explanation: