4/x² + 6x + 5

To simplify the expression 4/x² + 6x + 5, we first need to find a common denominator for the terms.

The common denominator for the terms is x².

So, we rewrite the expression as:

4/x² + 6x(x²/x²) + 5(x²/x²)
= 4/x² + 6x²/x² + 5x²/x²
= (4 + 6x² + 5x²) / x²
= (6x² + 4 + 5x²) / x²
= (11x² + 4) / x²

Therefore, the simplified expression is (11x² + 4) / x².

The expression 4/x² 6x 5 can be simplified as follows:

Step 1: Factor out the greatest common factor (GCF) of the terms 4, 6x, and 5.

The GCF of 4, 6x, and 5 is 1. Therefore, we can factor out 1 from each term:

4/x² 6x 5 = 1(4/x²) 1(6x) 1(5)

Step 2: Simplify each term.

The first term, 4/x², can be simplified by dividing 4 by x². This gives us:

4/x² 6x 5 = 1(4/x²) 1(6x) 1(5) = 1(4x⁻²) 1(6x) 1(5)

Step 3: Multiply the terms together.

Multiplying the terms together gives us:

1(4x⁻²) 1(6x) 1(5) = 4x⁻² 6x 5

Therefore, the simplified form of the expression 4/x² 6x 5 is 4x⁻² 6x 5.