zaylencollins55
30.11.2021 •
Mathematics
Third angles theorem
Solved
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Ответ:
(x-2) ( x+2) ( 2x + 5)
Step-by-step explanation:
We will factor the given expression by grouping
The expression is 2x³ + 5x² - 8x - 20
= ( 2x³ + 5x² ) - ( 8x + 20 )
= x² (2x + 5) - 4(2x + 5) [ distributive property ]
= (a² -4) ( 2x + 5)
= (x-2) (x+2) (2x+5) [since a² - b² = ( a+b ) (a-b) ]
Then the factored form of the expression will be (x-2) ( x+2) ( 2x + 5)