3x^2+5x-7(x^2+4)
Which expression is equivalent to the given expression?

−4x2+5x−28

Step-by-step explanation:

3

2

+

5

−

7

(

2

+

4

)

3x^{2}+5x-7(x^{2}+4)

3x2+5x−7(x2+4)

Simplify

1

Distribute

3

2

+

5

−

7

(

2

+

4

)

3x^{2}+5x{\color{#c92786}{-7(x^{2}+4)}}

3x2+5x−7(x2+4)

3

2

+

5

−

7

2

−

2

8

3x^{2}+5x{\color{#c92786}{-7x^{2}-28}}

3x2+5x−7x2−28

2

Combine like terms

3

2

+

5

−

7

2

−

2

8

{\color{#c92786}{3x^{2}}}+5x{\color{#c92786}{-7x^{2}}}-28

3x2+5x−7x2−28

−

4

2

+

5

−

2

8

{\color{#c92786}{-4x^{2}}}+5x-28

−4x2+5x−28

Solution

−

4

2

+

5

−

2

8