To determine which statements are true, let's evaluate each statement: A. ca+cb=ca+b This statement is true based on the properties of fractions.
B. a+2a+1=a+2a This statement is false. The two fractions are not equal.
C. ba⋅dc=bdac This statement is true according to the rules of multiplying fractions.
D. 2(a+b)2=2a2+b2 This statement is false. The two expressions are not equivalent.
E. (−a)2=−a2 This statement is false. The square of a negative number is positive.
F. None of the above is correct. Based on the evaluation: ☑ A. ca+cb=ca+b ☑ C. ba⋅dc=bdac ☐ B. a+2a+1=a+2a ☐ D. 2(a+b)2=2a2+b2 ☐ E. (−a)2=−a2
Therefore, the true statements are A and C.
