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]