Write the following equations in factored form. Remember to common factor first
(if possible) 𝑦 = 16𝑥2 − 9
𝑦 = (4𝑥 − 3)(4𝑥 + 3)
To factor the equation 𝑦 = 16𝑥^2 - 9, we can recognize it as a difference of squares. The difference of squares formula is 𝑎^2 - 𝑏^2 = (𝑎 + 𝑏)(𝑎 - 𝑏).
In this case, we have 𝑦 = (4𝑥)^2 - 3^2. Now, we can apply the difference of squares formula:
𝑦 = (4𝑥 + 3)(4𝑥 - 3)
Therefore, the factored form of the equation 𝑦 = 16𝑥^2 − 9 is (4𝑥 + 3)(4𝑥 - 3).