*2.) Which trinomial is equivalent to 4(x - 5)^2– 3(x - 2)?

Mathematics

1 answer:

spayn [35]2 years ago

7 0

Answer:

4x² - 43x - 106

Step-by-step explanation:

4(x - 5)²– 3(x - 2)

4(x - 5)(x - 5) - 3 (x - 2)

distribute

4(x(x - 5) - 5(x - 5)) - 3 (x - 2)

4(x² - 5x - 5x - 25) - 3 (x - 2)

↓

combine like terms ↓

4(x² - 10x - 25) ((( ↓

distribute again ↓

4x² - 40x - 100 ↓

↓

distribute ↔ ↓

4x² - 40x - 100 - 3 (x - 2)

4x² - 40x - 100 - 3x + 6

add

4x² - 40x - 106 - 3x

combine

4x² - 43x - 106

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