14x^4(1+2x)^6 + 4x^3 (1+2x)^7 becomes 2x^3(1+2x)^6 [7x+2(1+2x)^1] by factorising out the common expressions with the lower power? What does that mean?

Question

anonymous · Answer

It means that all powers of x on the left equation are at least x^3. so you can factor that out (bring it out of the parentheses) to arrive at the equation on the right.

anonymous · Answer

(x^3 is the lower power)

anonymous · Answer

no check this out 4x^3 *[]^7 make it power 6
then the eqn will be

anonymous · Answer

14x^4[1+2x]^6+4x^3*[1+2x][1+2x]^6
the final ans is

anonymous · Answer

14x^4+4x^3*[1+2x]+[1+2x]^6

anonymous · Answer

so as you can see... you have to make both of them to be on the same power. that is the mean of lowest power. if you don't you cant solve it