Respuesta :
Question #1 Answer:
2a + 3b - 5c
Simplify or expand
[tex](5a-4b-3c)-(3a-7b+2c)[/tex]
Remove the parenthesis for addition or subtraction
[tex]5a-4b-3c-3a+7b-2c[/tex]
Reorder and gather like terms
[tex](5a-3a)+(-4b+7b)+(-3c-2c)[/tex]
Collect coefficients of like terms
[tex](5-3)[/tex] [tex]\times[/tex] [tex]a+(-4b+7b)+(-3c-2c)[/tex]
[tex](5-3)\times a+(-4+7)\times b+(-3c-2c)\\ (5-3)\times a+(-4+7)\times b+(-3-2)\times c[/tex]
Calculate the sum or difference
[tex]2a+(-4+7)\times b+(-3-2)\times c\\ 2a+3b+(-3-2)\times c\\ 2a+3b-5c[/tex]
_______________________________________________
Question #2 Answer:
[tex]-5k^3-7k^2+k-4[/tex]
Simplify or expand
[tex](-2k^3+2k-9k^2-5)+(1-3k^3+2k^2-k)[/tex]
Determine the sign
[tex]-2k^3+2k-9k^2-5+1-3k^3+2k^2-k[/tex]
Reorder and gather like terms
[tex](-2k^3-3k^3)+(2k-k)+(-9k^2+2k^2)+(-5+1)[/tex]
Collect coefficients of like terms
[tex](-2-3)k^3+(2k-k)+(-9k^2+2k^2)+(-5+1)\\ (-2-3)k^3+(2-1)\times k+(-9k^2+2k^2)+(-5+1)\\ (-2-3)k^3+(2-1)\times k+(-9+2)k^2+(-5+1)[/tex]
Calculate the sum or difference
[tex]-5k^3+(2-1)\times k+(-9+2)k^2+(-5+1)\\ -5k^3+k+(-9+2)k^2+(-5+1)\\ -5k^3+k-7k^2+(-5+1)\\ -5k^3+k-7k^2-4[/tex]
Rewrite the expression
[tex]-5k^3-7k^2+k-4[/tex]
_______________________________________________
Question #3 Answer:
[tex]2x^4+3x^3+9x^2-2x+1[/tex]
Formulate
[tex]Based\ on\ the\ given\ conditions,\ formulate:\\ 6-5+2x^4+3x+3x^3+9x^2-5x[/tex]
Simplify or expand
[tex]6-5+2x^4+3x+3x^3+9x^2-5x[/tex]
Reorder and gather like terms
[tex](6-5)+2x^4+(3x-5x)+3x^3+9x^2[/tex]
Collect coefficients of like terms
[tex](6-5)+2x^4+(3-5)\times x+3x^3+9x^2[/tex]
Calculate the sum or difference
[tex]1+2x^4+(3-5)\times x+3x^3+9x^2\\ 1+2x^4-2x+3x^3+9x^2[/tex]
Rewrite the expression
[tex]2x^4+3x^3+9x^2-2x+1[/tex]
_______________________________________________
Question #4 Answer:
[tex]-2x^4+x^3-3x^2+3x-7[/tex]
Formulate
[tex]Based\ on\ the\ given\ conditions,\ formulate:\\ -7-3x^2-2x^4+6x+7x^3-3x-6x^3[/tex]
Simplify or expand
[tex]-7-3x^2-2x^4+6x+7x^3-3x-6x^3[/tex]
Reorder and gather like terms
[tex]-7-3x^2-2x^4+(6x-3x)+(7x^3-6x^3)[/tex]
Collect coefficients of like terms
[tex]-7-3x^2-2x^4+(6-3)\times x+(7x^3-6x^3)\\ -7-3x^2-2x^4+(6-3)\times x+(7-6)x^3[/tex]
Calculate the sum or difference
[tex]-7-3x^2-2x^4+3x+(7-6)x^3\\ -7-3x^2-2x^4+3x+x^3[/tex]
Rewrite the expresion
[tex]-2x^4+x^3-3x^2+3x-7[/tex]
I hope this helps you
:)
