(x+2) ©=2x(x-1) it was in the text book so pls solve it
Answers
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QUESTION:—
- (x+2) ©=2x(x-1) it was in the text book so pls solve it
ANSWER:—
- x³+6x²+12x+8 = 0(as x not equal to 0.)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(x+2)^3-(2*x*(x-1))=0
Step by step solution :
STEP 1:
Equation at the end of step 1
((x + 2)3) - 2x • (x - 1) = 0
STEP 2:
2.1 Evaluate : (x+2)³ = x³+6x²+12x+8
Checking for a perfect cube :
2.2 x³+6x²+12x+8 is not a perfect cube
Trying to factor by pulling out :
2.3 Factoring: x³+6x²+12x+8
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 14x+8
Group 1: 14x+8 Group 2: 4x2+x3
Pull out from each group separately :
Group 1: (7x+4) • (2)
Group 1: (7x+4) • (2)Group 2: (x+4) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.