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LiRa [457]
3 years ago
7

Multiply (x-3)2(x-2)2​

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

x^{4} - 10x³ + 37x² - 60x + 36

Step-by-step explanation:

Given

(x - 3)²(x - 2)² ← expand each factor using FOIL

(x - 3)² = x² - 6x + 9

(x - 2)² = x² - 4x + 4

We now have the product

(x² - 6x + 9)(x² - 4x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² - 4x + 4) - 6x(x² - 4x + 4) + 9(x² - 4x + 4) ← distribute each parenthesis

= x^{4} - 4x³ + 4x² - 6x³ + 24x² - 24x + 9x² - 36x + 36

Collect like terms

= x^{4} - 10x³ + 37x² - 60x + 36

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According to the question,

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Learn more about the angle sum property here : brainly.com/question/21099419

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