Answer:
( 2n² + 5n + 5 ) ( 2n - 4 ) = 4n³ + 2n² -10n -20
Step-by-step explanation:
Given Expressions for Product: ( 2n² + 5n + 5 ) ( 2n - 4 )
To find: Product of the expression.
Consider,
( 2n² + 5n + 5 ) ( 2n - 4 )
⇒ 2n² ( 2n - 4 ) + 5n ( 2n - 4 ) + 5 ( 2n - 4 )
⇒ 2n² × 2n + 2n² × (-4) + 5n × 2n + 5n × (-4) + 5 × 2n + 5 × (-4)
⇒ 2 × 2 × n² × n + 2 × (-4) n² + 5 × 2 × n × n + 5 × (-4) n + 10n + (-20)
⇒ 4n³ + (-8)n² + 10n² + (-20)n + 10n -20
⇒ 4n³ - 8n² + 10n² - 20n + 10n -20
⇒ 4n³ +( -8 + 10 ) n² + ( -20 + 10 ) n -20
⇒ 4n³ + 2n² -10n -20
Therefore, ( 2n² + 5n + 5 ) ( 2n - 4 ) = 4n³ + 2n² -10n -20
