Expand and simplify a product of two binomials
Expand and simplify a product of two binomials, such as the area of a rectangle with binomial side lengths. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
A rectangular deck has length (x + 1) m and width (x + 3) m. Which expression, in expanded and simplified form, gives its area?
(x + 1)(x + 3)
- x2 + 4x + 3
- x2 + 4x + 4
- x2 + 4x - 3
- x2 - 4x + 3
Answer: x^2 + 4x + 3
See one solved, step by step
A rectangular dog run has length (x + 5) m and width (x + 1) m. Which expression, in expanded and simplified form, gives its area?
(x + 5)(x + 1)
- x2 + 6x - 5
- x2 - 6x + 5
- x2 + 6x + 5
- x2 + 6x + 6
📘 Worked solution
1(x + 5)(x + 1)Area = length * width, so multiply the two binomials together.
2= x2 + x + 5x + 5First*First gives x^2, Outer gives 1x, Inner gives 5x, and Last gives 5.
3= x2 + 6x + 5The outer and inner terms are both x-terms, so combine them: 6x.
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