SOLUTION: Please, help me factorise: 2x2 - 8 - (x + 2)(-2x + 6)

Algebra.Com
Question 927164: Please, help me factorise: 2x2 - 8 - (x + 2)(-2x + 6)
Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!







...simplify;all terms could be divided by

...factor; write as





Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
2x² - 8 - (x + 2)(-2x + 6)

2(x² - 4) - (x + 2)(-2x + 6)

Factorise x² - 4 as (x - 2)(x + 2)

Factorise -2x + 6 as -2(x - 3)

2(x - 2)(x + 2) - (x + 2)[-2(x - 3)]

2(x - 2)(x + 2) + 2(x + 2)(x - 3) 

2(x + 2) is a common factor of bath as you see by the red coloring:

2(x - 2)(x + 2) + 2(x + 2)(x - 3)

2(x + 2)[(x - 2) + (x - 3)]

2(x + 2)[x - 2 + x - 3]

2(x + 2)(2x - 5)

Without the red coloring:

2(x + 2)(2x - 5)

Edwin


RELATED QUESTIONS

Can you factorise 16-9y2 , x2+7x+12 , x3-x , 16-14t-2t2 , x4-2x2-8 please I really need... (answered by DeepaEvangeline)
factorise... (answered by MathLover1)
Plese help me to factorise the expression: -4(x-2y)^2+8(x-2y)... (answered by gsmani_iyer)
simplify (3x+1)^2-(2x+1)(x-5)+2 and factorise the simplified expression!! help... (answered by Edwin McCravy,stanbon)
Please help me factorise 3x^2 + x-2. Thank you in... (answered by Alan3354,algebrahouse.com)
Please help me Factorise the following question?... (answered by Alan3354)
Please help me factorise x^2+4x-21. Thank you in... (answered by Alan3354)
factorise... (answered by lenny460)
Factorise... (answered by richwmiller)