The coefficient of x in (x+8)(6−3x) is:
- A18
- B30
- C-18
- D-30
Solution & Step-by-step Explanation
Let's expand the given algebraic expression:
(x+8)(6−3x)
Using the distributive property:
=x(6−3x)+8(6−3x)
=6x−3x
2
+48−24x
Combining the like terms (the terms containing x):
=−3x
2
+(6x−24x)+48
=−3x
2
−18x+48
The coefficient of the term x is −18.
(x+8)(6−3x)
Using the distributive property:
=x(6−3x)+8(6−3x)
=6x−3x
2
+48−24x
Combining the like terms (the terms containing x):
=−3x
2
+(6x−24x)+48
=−3x
2
−18x+48
The coefficient of the term x is −18.