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Karin wants to use the distributive property to find the value of 19 • 42 + 19 • 58 mentally. Which expression can she use?
a. 19 x(42 + 58)
b. 19 x(42 x 58)
c. (19 + 19) • (42 + 58)
d. 19 • 19 • (42 + 58)
The answer is a. 19 x(42 + 58). In the expression 19 * 42 + 19 * 58, the common factor is 19. So, it can be taken out and the other factor of each binomial can be put into parenthesis. The general form will be: x * a + x * b = x * (a + b) where x is the common factor. In our expression: 19 * 42 + 19 * 58 = 19 * (42 + 58).
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