(2d%E2%88%922)-standard-form.jpeg "(−6d+6)(2d−2) Standard Form")
Expanding and Simplifying the Expression (-6d + 6)(2d - 2)
This article will guide you through the process of expanding and simplifying the expression (-6d + 6)(2d - 2), transforming it into standard form.
Understanding the Process
To expand the expression, we will use the distributive property of multiplication. This property states that the product of a sum and a number is equal to the sum of the products of each addend and the number.
In our case, we will distribute each term of the first binomial (-6d + 6) to both terms of the second binomial (2d - 2).
Applying the Distributive Property
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Multiply -6d by (2d - 2):
- (-6d) * (2d) = -12d²
- (-6d) * (-2) = 12d
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Multiply 6 by (2d - 2):
- (6) * (2d) = 12d
- (6) * (-2) = -12
Combining the Results
Now we combine all the terms we obtained:
-12d² + 12d + 12d - 12
Simplifying to Standard Form
Finally, we combine like terms to obtain the expression in standard form:
-12d² + 24d - 12
This is the simplified form of the expression (-6d + 6)(2d - 2).