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3 years ago

(x-6)(3x+7) Expand and simplify

Mathematics

2 answers:

harina [27]3 years ago

8 0

Answer: 3x^2 − 11x − 42

Step-by-step 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

DiKsa [7]3 years ago

7 0

(x-6)(3x+7)
= 3x^2 + 7x - 18x - 42
= 3x^2 - 11x - 42

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