1.) 4x²-12x
2.) 9m²-16n²

Step-by-step explanation:Let's simplify or factor each of the given algebraic expressions.1. **Expression: \(4x^2 - 12x\)** To factor this expression, first, find the greatest common factor (GCF) of the terms. In this case, the GCF is \(4x\): \[ 4x^2 - 12x = 4x(x - 3) \] So, the factored form of \(4x^2 - 12x\) is \(4x(x - 3)\).2. **Expression: \(9m^2 - 16n^2\)** This expression is a difference of squares. The formula for factoring a difference of squares is: \[ a^2 - b^2 = (a - b)(a + b) \] Here, \(9m^2\) and \(16n^2\) are perfect squares: \[ 9m^2 = (3m)^2 \quad \text{and} \quad 16n^2 = (4n)^2 \] Applying the difference of squares formula: \[ 9m^2 - 16n^2 = (3m)^2 - (4n)^2 = (3m - 4n)(3m + 4n) \] So, the factored form of \(9m^2 - 16n^2\) is \((3m - 4n)(3m + 4n)\).

Answered by bautistaryza402 | 2024-09-10