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Nesterboy [21]
3 years ago
5

Francis used the distributive property of multiplication to help him solve the equation 6 x 2 = ________. Francis did not get th

e same answer for each side of the expression. Explain the steps required to correct his mistake. 6 x 2 = (3 x 2) + (4 x 2) 12 = 6 + 8 12 = 14
Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Solution :

The distributive property of multiplication :

It is given that we have to find the solution for the below expression using the distributive property of multiplication,

So 6 x 2 = __________

Using distributive property, we can write :

⇒  6 x 2 = 12

⇒ (3 + 3) x (2 ) = 12

⇒  (3 x 2) + (3 x 2) = 12

⇒  6 + 6 = 12

⇒     12 = 12

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Full question attached:

Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?

Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3

Simplified expression: x^2 - 6x - 6

ANSWER CHOICES:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Mickey should have added 2 and 1 when combining the x^2 terms.

Mickey should have added 9 and 3 when combining the constant terms.

Mickey should have added –4 and –1 when combining the x terms.

Answer

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Explanation:

To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved

Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify

We first group and find like terms and then add and cancel out

2x²-x²- 4x+2x - 9+ 3

=x²-2x-6

Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients

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