Question

Chase wants to factor x2 + 10x + 25 by grouping; however, Paige says it is a special product and can factor a different way. Using complete sentences, explain and demonstrate how both methods will result in the same factors.
@jim_thompson5910 Please help me out

Answer 1

@jim_thompson5910

Answer 2

@ganeshie8 @dumbcow

Answer 3

Chase is miserably misguided. You should not ever expect to factor by grouping. There is limited benefit in FBG.

It is a special type. The first and last terms are prefect squares. I wonder if the whole thing could be a perfect square trinomial?

Answer 4

can you help me solve for this and see how both would lead me to same answer @tkhunny

Answer 5

@jim_thompson5910 pleaaaaseeee i need help :/

Answer 6

what two numbers multiply to 25 and add to 10

Answer 7

5

Answer 8

5 and what else

Answer 9

5 and 5

Answer 10

good

5+5 = 10
5*5 = 25

Answer 11

this means 10x breaks down into 5x+5x

Answer 12

x^2 + 10x + 25

turns into

x^2 + 5x + 5x + 25

Answer 13

now factor by grouping

Answer 14

so how do i answer this question?

Answer 15

now factor x^2 + 5x + 5x + 25 by grouping

Answer 16

examples

http://www.regentsprep.org/regents/math/algtrig/atv1/revfactorgrouping.htm

Answer 17

x(x+5)+5(x+5)? @jim_thompson5910

Answer 18

keep going

Answer 19

so both the answers have (x+5) (x+5) so they're both identical

Answer 20

yes, the other way is to use the special formula

\[\Large a^2 + 2ab + b^2 = (a+b)^2\]

the perfect square trinomial formula

Answer 21

okay is it okay if we use twiddla for this again?