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What are the expressions in column a equal to in column b?

What are the expressions in column a equal to in column b?-example-1
User Jeroen
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1 Answer

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ANSWER

12r + t - 4r + 6t => 8r + 7t

(12r + 2t) - (4r + 10t) => 8(r - t)

12(r + t) - 6(r + t) + 4(r + t) - 2(r + t) => 8(r + t)

Step-by-step explanation

We want to find the expressions in A that are equivalent to the expressions in B.

To do this, we have to simplify each expression in Column A and then find the equivalent expression in Column B.

FIRST ONE:

12r + t - 4r + 6t

To simplify, collect like terms:

12r - 4r + t + 6t

=> 8r + 7t

SECOND ONE:

(12r + 2t) - (4r + 10t)

First, expand the brackets, then collect like terms:

12r + 2t - 4r - 10t

=> 12r - 4r + 2t - 10t

8r - 8t

This can be further factorized:

8(r - t)

THIRD ONE:

12(r + t) - 6(r + t) + 4(r + t) - 2(r + t)

Expand the brackets and collect like terms:

12r + 12t - 6r - 6t + 4r + 4t - 2r - 2t

=> 12r - 6r + 4r - 2r + 12t - 6t + 4t - 2t

8r + 8t

This can be further factorized:

8(r + t)

Those are the equivalent expressions from Columns A and B.

User Tom Morris
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