Question

Multiply and simplify: (2x + 5)(3x + 4)

Answer 1

do you know how to multiply and add?

\((ax + c) (bx + d) = ax \times bx + ax \times d + bx \times c + c \times d \)

Answer 2

i am not very good at it

Answer 3

http://www.ck12.org/arithmetic/

Answer 4

http://www.ck12.org/algebra/

Answer 5

FOIL method

(2x + 5)(3x - 4)

F -- multiply first terms in each set....2x * 3x = ?
O -- multiply outside terms in each set ... 2x * - 4 = ?
I -- multiply inside terms in each set...5 * 3x = ?
L -- multiply last terms in each set...5 * -4 = ?

Now after you do the multiplying, what do you end up with ?

Answer 6

so 2x * 3x = 6x^2

Answer 7

oops...I wrote the problem wrong...
you basically do the same a far as the multiplying...just use the right numbers
(2x + 5)(3x + 4)

now do FOIL

Answer 8

you got the 6x^2 right....thats the F....now do the O....outside terms
2x * 4 = ?

Answer 9

and 2x * 4 = 8x?

Answer 10

correct...
now do the Inside terms of each set....5 * 3x = ?

Answer 11

15x

Answer 12

Now do the L....last terms in each set ...5 * 4 = ?

Answer 13

20

Answer 14

now put all the answers you got together..
6x^2 + 8x + 15x + 20

now just combine like terms and what do you get ?

Answer 15

6x2 + 23x + 20

Answer 16

correct...thats it

Answer 17

Awesome! Thank you very much! :)

Answer 18

no problem :)