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How can you write (m – 5)(m + 4) + 8 as a product of two binomials?

Question

How can you write (m – 5)(m + 4) + 8 as a product of two binomials?

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Solution

To write (m – 5)(m + 4) + 8 as a product of two binomials, you first need to expand the expression and then factor it.

Step 1: Expand the expression (m – 5)(m + 4) = m^2 + 4m - 5m - 20 = m^2 - m - 20

Step 2: Add 8 to the expanded expression m^2 - m - 20 + 8 = m^2 - m - 12

Step 3: Factor the expression m^2 - m - 12 can be factored into (m - 4)(m + 3)

So, (m – 5)(m + 4) + 8 can be written as a product of two binomials as (m - 4)(m + 3).

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