Question

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?

Answer 1

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.

Answer 2

(x^3 is the lower power)

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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