Final answer:
To expand the expression '7a(b-2c)-c(2a-3)', distribute 7a across the first parenthesis and -c across the second, combine like terms to get '7ab - 16ac + 3c'.
Step-by-step explanation:
The student has asked to expand the algebraic expression 7a(b-2c)-c(2a-3).
To expand this expression, each term in the first parenthesis is multiplied by 7a, and each term in the second parenthesis is multiplied by -c.
The expansion follows the distributive property of multiplication over addition.
Expanding the expression follows:
- Multiply 7a by each term in the first parenthesis: 7ab - 14ac.
- Multiply -c by each term in the second parenthesis: -2ac + 3c.
- Combine like terms: 7ab - 14ac - 2ac + 3c.
- Combine the 'ac' terms: 7ab - 16ac + 3c.
The final expanded form of the expression is 7ab - 16ac + 3c.