If C, equals, 3, m, squared, plus, 4, m, plus, 5C=3m
2
+4m+5 and D, equals, 3, m, plus, 7, commaD=3m+7, find an expression that equals 2, C, plus, 2, D2C+2D in standard form.
To find an expression that equals 2C + 2D, we first need to find the values of C and D using the given equations.
Given:
C = 3m^2 + 4m + 5
D = 3m + 7
To find 2C, we multiply each term in C by 2:
2C = 2(3m^2 + 4m + 5)
= 6m^2 + 8m + 10
To find 2D, we multiply each term in D by 2:
2D = 2(3m + 7)
= 6m + 14
Finally, we can find the expression that equals 2C + 2D:
2C + 2D = 6m^2 + 8m + 10 + 6m + 14
= 6m^2 + 14m + 24
Therefore, the expression 2C + 2D in standard form is 6m^2 + 14m + 24.