Easy Algebra Step-by-Step by Sandra Luna McCune
Author:Sandra Luna McCune
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2018-12-20T05:00:00+00:00
Step 3. Fill in the terms of the trinomial by using the terms of the binomial, 2x and 3. The first term is (2x)2 = 4x2, the second term is 2x ⋅ 3 = 6x, and the third term is 32 = 9.
8x3 − 27 = (2 x − 3)(4 x2 + 6 x + 9) is the factored form.
e. 64a3 +125
Step 1. Observe that the binomial has the form “quantity cubed plus quantity cubed,” so it is the sum of two cubes. Indicate that 64a3 + 125 factors as the product of a binomial and a trinomial. The binomial has a plus sign between the terms, and the trinomial has one minus sign on the middle term.
64a3 + 125 = (+)(− +)
Step 2. Fill in the terms of the binomial. The first term is , and the second term is
64a3 + 125 = (4 a + 5)(− +)
Step 3. Fill in the terms of the trinomial by using the terms of the binomial, 4a and 5. The first term is (4a)2 = 16a2, the second term is 4a ⋅ 5 = 20a, and the third term is 52 = 25.
64a3 + 125 = (4 a + 5)(16 a2 – 20 a + 25)
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