Multiply two binomials
key notes:
To simplify the product of two binomials, use the distributive property.
As a shortcut, you can use the FOIL method. Find the products of the First, Outside, Inside, and Last terms, and then add them.
Learn with an example
🔔 Find the product.
Simplify your answer.
(2k + 4) (k + 2)
Use the distributive property to simplify (2k+4)(k+2). You can use the FOIL method:
Multiply the first terms of (2k+4)(k+2):
(2k)(k)=2k2
Multiply the outside terms of (2k+4)(k+2):
(2k)(2)=4k
Multiply the inside terms of (2k+4)(k+2):
(4)(k)=4k
Multiply the last terms of (2k+4)(k+2):
(4)(2)=8
Finally, add these results and simplify.
2k2+4k+4k+8
2k2+8k+8
🔔 Find the product.
Simplify your answer.
(2b+4)(2b–3)
Use the distributive property to simplify (2b+4)(2b–3). You can use the FOIL method:
Multiply the first terms of (2b+4)(2b–3):
(2b)(2b)=4b2
Multiply the outside terms of (2b+4)(2b–3):
(2b)(–3)=–6b
Multiply the inside terms of (2b+4)(2b–3):
(4)(2b)=8b
Multiply the last terms of (2b+4)(2b–3):
(4)(–3)=–12
Finally, add these results and simplify.
4b2+–6b+8b+–12
4b2+2b–12
🔔 Find the product.
Simplify your answer.
(3u–3)(2u–2)
Use the distributive property to simplify (3u–3)(2u–2). You can use the FOIL method:
Multiply the first terms of (3u–3)(2u–2):
(3u)(2u)=6u2
Multiply the outside terms of (3u–3)(2u–2):
(3u)(–2)=–6u
Multiply the inside terms of (3u–3)(2u–2):
(–3)(2u)=–6u
Multiply the last terms of (3u–3)(2u–2):
(–3)(–2)=6
Finally, add these results and simplify.
6u2+–6u+–6u+6
6u2–12u+6
let’s practice!🖊️
