Find the product of (y + 2/5 y2) and (5y - y2). Also, verify the result for y=3
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Answer:
APPROPRIATE QUESTION:
Find the product
where,
(y + 25y2) and (5y - y²)
Also verify the result for y = 3
CLARIFICATION :
First let's find the product
(y + 25y2) x (5y - y²)
5y(y + 25y2) - y²(y + 25y²)
5y² + 125y³y³ – 25y4
5y² +124y³ 25y¹
Where y = 3 ,
⇒ 5(3)² +124(3)³ – 25(3)4
=> 5 x 9 + 124 x 27 25 x 81
=> 45 + 3348 - 2025
=> 3393 - 2025
=> 1368
Now let's put the value y = 3 in the given question for verification
(y + 25y2) × (5y - y²)
⇒5y(y + 25y2) - y²(y + 25y²)
=>5(3) (3 + 25 (3)²) — 3²(3 + 25(3)²)
=>15(3 + 25 x 9) - 9(3 + 25 x 9)
⇒15 (3+225) - 9(3 +225)
⇒15 (228) 9(228)
=> 3420 2052
=>1368
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