Answer: 3x^2 − 11x − 42
Explanation:
Simplify (x − 6) (3x + 7)
Expand (x − 6) (3x + 7) using the FOIL Method.
Apply the distributive property.
x (3x + 7) − 6 (3x + 7)
Apply the distributive property.
x (3x) + x ⋅ 7 − 6 (3x + 7)
Apply the distributive property.
x (3x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Simplify and combine like terms.
Rewrite using the commutative property of multiplication.
3x ⋅ x + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Multiply x by x by adding the exponents.
Move x.
3 (x ⋅ x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Multiply x by x.
3x^2 + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Move 7 to the left of x.
3x^2 + 7 ⋅ x − 6 (3x) − 6 ⋅ 7
Multiply 3 by −6.
3x^2 + 7x − 18x − 6 ⋅ 7
Multiply −6 by 7.
3x^2 + 7x − 18x − 42
Subtract 18x from 7x.
3x^2 − 11x − 42