subtract 3a ( a -4b + 5c ) from 4a ( 10c - 3b + 2a )
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Answer:
5a² - 24ab + 55ac
Step-by-step explanation:
3a ( a - 4b + 5c )
= 3a² - 12ab + 15ac
4a ( 10c - 3b + 2a )
= 40ac - 12ab + 8a²
Subtract 3a ( a -4b + 5c ) from 4a ( 10c - 3b + 2a ) means,
4a ( 10c - 3b + 2a ) - 3a ( a -4b + 5c )
= 40ac - 12ab + 8a² - ( 3a² - 12ab + 15ac )
= 8a² - 3a² - 12ab - 12ab + 40ac + 15ac
= 5a² - 24ab + 55ac
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