Final result :
-2 • (2x4 - 3x2 + 4)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((0-(4•(x4)))+(x2))-4)+(5x2-4)
Step 2 :
Equation at the end of step 2 :
(((0 - 22x4) + x2) - 4) + (5x2 - 4)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-4x4 + 6x2 - 8 = -2 • (2x4 - 3x2 + 4)
Trying to factor by splitting the middle term
4.2 Factoring 2x4 - 3x2 + 4
The first term is, 2x4 its coefficient is 2 .
The middle term is, -3x2 its coefficient is -3 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 2 • 4 = 8
Step-2 : Find two factors of 8 whose sum equals the coefficient of the middle term, which is -3 .
-8 + -1 = -9
-4 + -2 = -6
-2 + -4 = -6
-1 + -8 = -9
1 + 8 = 9
2 + 4 = 6
4 + 2 = 6
8 + 1 = 9
