Final answer:
To simplify the expression 6.3g(4g-7), use the distributive property to get 25.2g^2 - 44.1g, which involves multiplying 6.3g by each term inside the parentheses.
Step-by-step explanation:
The expression given is 6.3g(4g-7), which is a multiplication of a monomial and a binomial. To simplify the expression, we will use the distributive property, also known as the distributive law of multiplication over addition. This law states that a(b + c) = ab + ac, where a, b, and c are any rational numbers (including algebraic expressions).
In the case of the expression 6.3g(4g-7), we will distribute 6.3g across both terms inside the parentheses:
- Multiply 6.3g by 4g, which gives us 25.2g2.
- Multiply 6.3g by -7, which gives us -44.1g.
By combining these two results, we get the simplified form of the expression:
25.2g2 - 44.1g