Answer:
Co-efficient of [tex]x^{2}[/tex] is missing.
It should be 8[tex]x^{2}[/tex].
Step-by-step explanation:
Given two polynomials:
1st polynomial: [tex]15x^2+11y^2+8x[/tex]
2nd polynomial: [tex]-7x^2+5y^2+2x[/tex]
To find:
The value in the blank:
[tex](15x^2+11y^2+8x)-(7x^2+5y^2+2x)= \_\_ \ x^2+6y^2+6x[/tex]
Solution:
Here, we have 3 pair of like terms.
2 terms with [tex]x^{2}[/tex], 2 terms with [tex]y^{2}[/tex]and 2 terms with [tex]x[/tex].
Like terms can be subtracted.
Subtracting the terms with [tex]y^{2}[/tex], the coefficients will get subtracted.
[tex]11y^2 - 5y^2 = 6y^2[/tex]
Subtracting the terms with [tex]x[/tex], the coefficients will get subtracted.
[tex]8x -2x=6x[/tex]
Subtracting the terms with [tex]x^{2}[/tex], the coefficients will get subtracted.
[tex]15x^2 - 7x^2 =\bold{8}x^2[/tex]
Therefore, the answer is:
Co-efficient of [tex]x^{2}[/tex] is missing.
It should be 8[tex]x^{2}[/tex].
