Question

Find the sum of (9x)²+6 and (2x)²-x-10

Answer 1

The sum of the expressions (9x)² + 6 and (2x)² - x - 10 is 85x² - x - 4 after simplifying and combining like terms.

Step-by-step explanation:

To find the sum of (9x)² + 6 and (2x)² - x - 10, we first need to simplify each expression individually before adding them together.

• For the first expression (9x)² + 6, we square 9x to get 81x², and we keep the +6 as it is. So the first expression simplifies to 81x² + 6.
• For the second expression (2x)² - x - 10, we square 2x to get 4x², subtract x, and subtract 10. So the second expression simplifies to 4x² - x - 10.

Now, we add the two simplified expressions together:

81x² + 6 + 4x² - x - 10

Combine like terms:

(81x² + 4x²) + (- x) + (6 - 10)

This results in:

85x² - x - 4

So, the sum of the given expressions is 85x² - x - 4.