Question

Fill in the empty spaces to complete the puzzle. In any row, the two left spaces should multiply to equal the right-hand space. In any column, the two top spaces should multiple to equal the bottom space.

Answer 1

Step-by-step explanation:

We will find the expression for each space in the following order

To find the first expression, we need to find a number that multiplied by 6 is equal to 18. This number is 3 because

6 · 3 = 18

Then, for the second space, we need to factorize the expression 36x² + 144x + 108 as follows

36x² + 144x + 108 = 8(2x² + 8x + 6)

So, the expression that multiplied to 8 is (36x² + 144x + 108) is (2x² + 8x + 6).

The third space can be calculated by factorizing 2x² + 8x + 6 as

2x² + 8x + 6 = (x + 3)(2x + 2)

Therefore, the expression in the third space is (2x + 2)

Finally, for the fourth and fifth space, we need to multiply the expression to the left, so

6(2x + 2) = 6(2x) + 6(2) = 12x + 12

3(x + 3) = 3(x) + 3(3) = 3x + 9

Answer

Therefore, the answer is