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Tequired to complete all problens in credit. Multiply (3T-T²-3)(1-T)

User Stibi
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1 Answer

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Final answer:

The multiplication of the binomials (3T - T² - 3) and (1 - T) is performed using the FOIL method, resulting in the simplified answer 3T - 4T² + T³.

Therefore, the product of the given binomials is 3T - 4T² + T³.

Step-by-step explanation:

The question requires us to multiply two binomials: (3T - T² - 3) and (1 - T). To do this, we use the distributive property, also known as the FOIL method for binomials, which stands for First, Outer, Inner, Last.

First: Multiply the first terms in each binomial (3T * 1 = 3T).

Outer: Multiply the outer terms (3T * -T = -3T²).

Inner: Multiply the inner terms (-T² * 1 = -T²).

Last: Multiply the last terms (-T² * -T = T³).

Combine like terms (3T - 3T² - T² + T³).

Simplify to get the final answer 3T - 4T² + T³.

Therefore, the product of the given binomials is 3T - 4T² + T³.

User Danny Hiemstra
by
8.4k points

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