Question

HELP ASAP BEING TIMED!!!!!

The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?

3x3 + 2x2 – x + 3
3x3 + 2x2 – x – 3
3x3 + x2 – 6x + 9
3x3 + x2 + 6x – 9

Answer 1

$\LARGE{ \underline{ \red{ \sf{Required \: answer:}}}}$

GiveN:

• A = x²
• B = 3x + 2
• C = x - 3

To FinD:

• The simplest form of AB - C²

Step-wise-Step Explanation:

We need to find AB - C² and we know the value of A, B and C. Plugging the values to get the answer.

⇒ AB - C²

⇒ x²(3x + 2) - (x - 3)²

⇒ 3x³ + 2x² - (x² - 6x + 9)

⇒ 3x³ + 2x² - x² + 6x - 9

⇒ 3x² + x² + 6x - 9

According to the options, the correct one is Option D that corresponds to the value we got :D.

Explore the method!!

• When we are expanding a parentheses, we multiply each term with the common term.
• Better using Identities wherever we get a chance to minimise the steps and time taken.
• At the last, simplify by combining the like terms having the same degrees and variables.

Answer 2

Answer:

✰ Given :-

◉ The variables A, B and C represent polynomial where A = x², B = 3x + 2, and C = x - 3.

✰ To Find :-

◉ What is the simplest form of AB - C²

✰ Solution :-

⋆ Given :-

• A = x²
• B = 3x + 2
• C = x - 3

➣ According to the question,

⇒ AB - C²

➭ Putting the values we get,

↦ x²(3x + 2) - (x - 3)²

↦ 3x³ + 2x² - (x² - 6x + 9)

↦ 3x³ + 2x² - x² + 6x - 9

➠ 3x³ + x² + 6x - 9

$\therefore$ The simplest form of AB - C² is $\sf\boxed{\bold{\large{3x³\: +\: x²\: +\: 6x\: -\: 9}}}$ (Option no 4)

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