Simplify 4x/(4x+3) – (4x2)/(4x+3)2

An algebraic expression is a mathematical representation that consists of parameters and constants as well as arithmetic operators such as add, subtracts, and so on. When the algebra operations indicated above are applied to any variable, such equations are generated.

Simplifying Algebraic Expressions

The technique of presenting an expression in the most precise and efficient form feasible without affecting the quality of the underlying expression is known as algebraic expression simplification. A phase in the process is gathering comparable phrases, which comprises adding or eliminating words from a sentence.

Steps to Simplify Algebraic Expressions

• Factor the provided equations and eliminate the common (primarily in the case of generalized linear mixed expressions).
• In case exponents are involved, use the exponent rule to prevent grouping.
• Substitute the comparable phrases with fresh ones.
• In the last step, we add the values of the constant terms together.

Simplify 4x/(4x+3) – (4x²)/(4x+3)².

Solution:

Since the LCM of 4x + 3 and (4x + 3)² is (4x + 3)².

Similar Problems 

Problem 1: Simplify: .

Solution:

Problem 2: Simplify: 

Solution:

Problem 3: Simplify: 3x²(2xy – 3xy² + 4x²y³).

Solution:

P = 3x²(2xy − 3xy² + 4x²y³)

Since, a^m.aⁿ = a^m+n.

P = 6×2+1y − 9×2+1y2 + 12×2+2y3

= 6x³y − 9x³y² + 12x⁴y³

Problem 4: Simplify: (25t^-4)/(5^-3 × 10t^-8).

Solution:

[25t^-4]/[5^-3 x 10 x t^-8] = (5² × t⁻⁴)/(5⁻³ × 5 × 2 × t⁻⁸ )

= (52 × t−4)/(5−3+1 × 2 × t−8)                           [Since, a^m × aⁿ = a^m+n]

= (52 × t−4)/(5−2 × 2 × t−8)

= (52−(−2) × t−4−(−8))/2                                       [Since, a^m/aⁿ = a^m−n]

= (54 × t⁻⁴ + 8)/2

= 625t⁴/2

Problem 5: Simplify: 1/2x^-99.

Solution:

Using the property a^-m = 1/ a^m, which is known as the Negative exponent law,

1/ 2x^-99 = \frac{1}{2}x^{99}

= x^99/2.