Expand and simplify a product of binomials
Expand and simplify a product of two binomials, such as (2x+3)(x-4), into standard trinomial form. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Expand and simplify.
(x + 5)(x + 8)
- x2 + 13x - 40
- x2 - 13x + 40
- x2 + 13x + 40
- x2 + 40
Answer: x^2 + 13x + 40
See one solved, step by step
Expand and simplify.
(x - 3)(x - 9)
- x2 - 12x + 27
- x2 + 12x + 27
- x2 + 27
- x2 - 12x - 27
📘 Worked solution
1(x - 3)(x - 9)Multiply every term in the first bracket by every term in the second bracket.
2F: x·x = x2, O: x·(−9) = −9x, I: −3·x = −3x, L: −3·(−9) = 27FOIL gives four terms — multiply First, Outer, Inner, then Last.
3x2 - 9x - 3x + 27Write out all four terms before combining anything.
4= x2 - 12x + 27Combine the two middle x-terms (-9x and -3x) into -12x.
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