Expand and simplify (𝑥 + 4)(𝑥 − 3)
To expand and simplify (𝑥 + 4)(𝑥 − 3), we will use the distributive property of multiplication over addition.
(𝑥 + 4)(𝑥 − 3)
= 𝑥(𝑥) + 𝑥(-3) + 4(𝑥) + 4(-3)
= 𝑥^2 - 3𝑥 + 4𝑥 - 12
= 𝑥^2 + 𝑥 - 12
Therefore, the expanded and simplified form of (𝑥 + 4)(𝑥 − 3) is 𝑥^2 + 𝑥 - 12.