Question

Perform the operation. (-10x^2-1)+(-8x^2+8x-8)

Answer 1

Step-by-step explanation:

-18x^2+8x-9

combine like terms -10x^2+8x^2, 8x+0x, -1+-8

Answer 2

Eliminate redundant parentheses

(

−

1

0

2

−

1

)

+

(

−

8

2

+

8

−

8

)

(-10x^{2}-1)+(-8x^{2}+8x-8)

(−10x2−1)+(−8x2+8x−8)

−

1

0

2

−

1

−

8

2

+

8

−

8

Subtract the numbers

−

1

0

2

−

1

−

8

2

+

8

−

8

-10x^{2}{\color{#c92786}{-1}}-8x^{2}+8x{\color{#c92786}{-8}}

−10x2−1−8x2+8x−8

−

1

0

2

−

9

−

8

2

+

8

Combine like terms

−

1

0

2

−

9

−

8

2

+

8

{\color{#c92786}{-10x^{2}}}-9{\color{#c92786}{-8x^{2}}}+8x

−10x2−9−8x2+8x

−

1

8

2

−

9

+

8

Rearrange terms

−

1

8

2

−

9

+

8

{\color{#c92786}{-18x^{2}-9+8x}}

−18x2−9+8x

−

1

8

2

+

8

−

9

Solution

−

1

8

2

+

8

−

9