How much 2y4 - 15y2 + y + 15 greater than 18y3 + 34y2 - 50y + 70?

How much 2y4 - 15y2 + y + 15 greater than 18y3 + 34y2 - 50y + 70? Correct Answer <span style="">2y</span><span style=" line-height: 0; position: relative; vertical-align: baseline; top: -0.5em; font-size:10.5px;">4</span><span style=""> - 18y</span><span style=" line-height: 0; position: relative; vertical-align: baseline; top: -0.5em; font-size:10.5px;">3</span><span style=""> + 49y</span><span style=" line-height: 0; position: relative; vertical-align: baseline; top: -0.5em; font-size:10.5px;">2</span><span style=""> + 51y - 55 </span>

Given: 

⇒ (2 y4 - 15 y2 + y + 15) and (18 y3 + 34 y2 - 50 y + 70)

Concept used: 

Subtract the coefficient of same power variable.

Calculation: 

⇒ (2 y4 - 15 y2 + y + 15) - (18 y3 + 34 y2 - 50 y + 70)

⇒ 2 y - 18 y 3 + (-15 - 34) y2 + (1 + 50) y + (15 - 70)

⇒ 2 y 4 - 18 y 3+ (- 49) y2 + (51) y + (- 55)

⇒ 2 y 4 - 18 y 3- 49 y2 + 51 y - 55

∴ Option 2 is correct.

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