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What must be subtracted from 3a2-6ab-3b2-1 to get 4a2 -7ab-4b2+1?pls write in steps the numbers next to the alphabets are the squares and cube

Answer»

\huge\bold{\gray{\sf{Answer:}}}

Explanation:

Let the EQUATION be 'X' which be SUBTRACTED from

\bold{3 {a}^{2}  - 6ab - 3 {b}^{2}  - 1}

To get \bold{\red{4 {a}^{2}  - 7ab - 4 {b}^{2}  + 1}}

ACCORDING to the QUESTION:

➠ 3 {a}^{2}  - 6ab - 3 {b}^{2}  - 1 - x = 4 {a}^{2}  - 7ab - 4 {b}^{2}  + 1

➠  - x = 4 {a}^{2}  - 7ab - 4 {b}^{2}  + 1 - (3 {a}^{2}  - 6ab - 3 {b}^{2}  - 1)

➠ - x = 4 {a}^{2}  - 7ab - 4 {b}^{2}  + 1 - 3 {a}^{2}  + 6ab + 3 {b}^{2}  + 1

➠ - x = 4 {a}^{2}  - 3 {a}^{2}  - 7ab + 6ab - 4 {b}^{2}  + 3 {b}^{2}  + 1 + 1

➠ - x =  {a}^{2}  - ab -  {b}^{2} + 2

➠  x =  - ( {a}^{2}  - ab -  {b}^{2}  + 2)

\bold{\boxed{\bold{\pink{x =  -  {a}^{2}  + ab +  {b}^{2}  - 2}}}}

\huge\mathbb{CHECK}

3 {a}^{2}  - 6ab - 3 {b}^{2}  - 1 - ( -  {a}^{2}  + ab +  {b}^{2}  - 2)

➠ 3 {a}^{2}  - 6ab - 3 {b}^{2}  - 1 +  {a}^{2}  - ab -  {b}^{2}  + 2

\bold{\red{ ➠ 4 {a}^{2}  - 7ab - 4 {b}^{2}  + 1}}



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