what should be subtracted from
[tex] {a}^{2} - 7ab \: + {3b}^{2} [/tex]
to get
[tex]( - 4 {a}^{2} + 6ab \: + 3 {b}^{2} )[/tex]
?

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Аноним Аноним · Answer 1 · 2022-02-13T06:42:23+01:00

-5a²+13ab should be subtracted.

Based on the given conditions, formulate,

[tex]→- {a}^{2} - 4 {a}^{2} + 13ab[/tex]

[tex]→-({a}^{2} - 4 {a}^{2}) + 13ab[/tex]

Taking the coefficients or numbers, we get,

[tex]→(- 1 - 4) {a}^{2} + 13ab[/tex]

[tex]→ - 5 {a}^{2} + 13ab[/tex]

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Аноним Аноним · Answer 2 · 2022-02-20T12:00:49+01:00

Given :

What should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b² ?

Solution :

Let the required expression to be subtracted be x

⇢ a² – 7ab + 3b² – x = – 4a² + 6ab + 3b²

⇢ a² – 7ab + 3b² – (– 4a² + 6ab + 3b²) = x

⇢ a² – 7ab + 3b² + 4a² – 6ab – 3b² = x

Combining the like terms :

⇢ a² + 4a² – 7ab – 6ab + 3b² – 3b² = x

⇢ 5a² – 13ab = x

⇢ x = 5a² – 13ab

Therefore,

5a² – 13ab should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b².