Respuesta :

Answer:

[tex]8x^{2}+11x-9[/tex]

Step-by-step explanation:

we have

[tex]M=5x^{2}+7x-4[/tex]

[tex]N=-3x^{2}-4x+5[/tex]

Find M-N

substitute

[tex](5x^{2}+7x-4)-(-3x^{2}-4x+5)[/tex]

[tex]5x^{2}+7x-4+3x^{2}+4x-5)[/tex]

Group terms

[tex](5x^{2}+3x^{2})+(7x+4x)+(-4-5)[/tex]

Combine like terms

[tex](8x^{2})+(11x)+(-9)[/tex]

[tex]8x^{2}+11x-9[/tex]

Answer: [tex]8x^2+11x-9[/tex]

Step-by-step explanation:

The given expressions: [tex]M=5x^2+7x-4[/tex] and [tex]N=-3x^2-4x+5[/tex]

To find : M-N

Now, Consider M-N

Substitute the values of M and N into it , we get

[tex]5x^2+7x-4-(-3x^2-4x+5)[/tex]

Multiply (-) inside the parenthesis (it will just change the sign of the terms), we get

[tex]5x^2+7x-4+3x^2+4x-5[/tex]

Combine like terms together

[tex]5x^2+3x^2+7x+4x-4-5[/tex]

Simplify

[tex]8x^2+11x-9[/tex]

Hence, M-N=[tex]8x^2+11x-9[/tex]

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