Question

u= x^2y-xy^2 related from partial differentiation ​

Answer 1

Answer:

2.1 Factoring 3x2+4x+1

The first term is, 3x2 its coefficient is 3 .

The middle term is, +4x its coefficient is 4 .

The last term, "the constant", is +1

Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3

Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is 4 .

-3 + -1 = -4

-1 + -3 = -4

1 + 3 = 4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 3

3x2 + 1x + 3x + 1

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (3x+1)

Add up the last 2 terms, pulling out common factors :

1 • (3x+1)

Step-5 : Add up the four terms of step 4 :

(x+1) • (3x+1)