Multiple two binomials: expand and simplify (2x+7)(3x-2)
To expand and simplify (2x+7)(3x-2), we can use the distributive property:
(2x+7)(3x-2) = 2x(3x) + 2x(-2) + 7(3x) + 7(-2)
= 6x^2 - 4x + 21x - 14
= 6x^2 + 17x - 14
Therefore, (2x+7)(3x-2) simplifies to 6x^2 + 17x - 14.