multiply 5p²+25pq+4q²by 2p² –2pq+3q²
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(5p² - 25p + 20)/(p - 1) = 5 (p - 4)
Step-by-step explanation:
We have to simplify (5p² - 25p + 20) ÷ (p - 1)
At first, let us factorize the numerator.
∴ 5p² - 25p + 20
= 5 (p² - 5p + 4)
= 5 (p² - 4p - p + 4)
= 5 {p (p - 4) - 1 (p - 4)}
= 5 (p - 4) (p - 1)
Now we find the simplified form.
∴ (5p² - 25p + 20) ÷ (p - 1)
= 5 (p - 4) (p - 1) ÷ (p - 1)
= 5 (p - 4)
⇒ (5p² - 25p + 20) ÷ (p - 1) = 5 (p - 4)
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