Multiple two binomials: expand and simplify (x-5)(x-3)
To expand and simplify (x-5)(x-3), we will use the distributive property:
(x-5)(x-3) = x(x) + x(-3) - 5(x) - 5(-3)
= x^2 - 3x - 5x + 15
= x^2 - 8x + 15
Therefore, (x-5)(x-3) simplifies to x^2 - 8x + 15.