Question

Help?? How do you do this ?

Answer 1

What do you need help with?

Answer 2

Do you know how to simplify expressions?

Answer 3

Yes

Answer 4

there is no such mathematical operation as "simplify"
it is the lazy math teacher's way of saying "give me the answer i want"

Answer 5

you can add, subtract, multiply, divide, combine like terms, reduce to lowest terms, write in simplest radical form (if you know the rules) but you cannot "simplify"

Answer 6

however, if you write the question i bet we can do it

Answer 7

oh.. How would I "simplify" this problem . (5h+4)(3h+6)

Answer 8

that is called "multiply"
there is nothing "simpler" about what you get when you multiply than there is in factored form like you have it
you have to do 4 multiplications
\[(5h+4)(3h+6)=5h\times 3h+5h\times 6+4\times 3h+4\times 6\]

Answer 9

then you have
\[15h^2+30h+12h+24\] and when you combine the like terms you finish with
\[15h^2+42h+24\]

Answer 10

some times this is called "foil" for "first, outer, inner, last" (i bet your math teacher says that) but it is the distributive property

Answer 11

where did you get the 15h^2+30h+12h+24
an dyes he does

Answer 12

did you see how i arrived at the four multiplications for this step
\[(5h+4)(3h+6)=5h\times 3h+5h\times 6+4\times 3h+4\times 6\]?

Answer 13

that was the "first, outer, inner, last"

Answer 14

oh wait i see it. 5hx3h=15h^2,

Answer 15

right

Answer 16

with only a tiny bit of practice you do it in your head
you say \(5h\times 3h\) is \(15h^2\) and don't even write the \(5h\times 3h\) part
that is just my explanation of why it is right

Answer 17

same with \(5h\times 6\) you go right to \(30h\) since you compute \(5\times 6=30\) without writing it

Answer 18

so would (-4m+6)(3m+2)=-12m^2+10m+12??

Answer 19

oh no you are right, sorry

Answer 20

if you want, ask you math teacher (gently) why \(-12m^2+10m+12\) is any "simpler" than \( (-4m+6)(3m+2)\)
curious to see what he says

Answer 21

Alright, I will ask him :) How would I do this . (4x-6y^3)^2

Answer 22

or this one Factor 5a^3+15a^2-6a-18