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What should be added to 3pq + 5p2q2 + p3 to get p3 + 2p2q2 + 4pq? - Mathematics

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प्रश्न

What should be added to 3pq + 5p2q2 + p3 to get p3 + 2p2q2 + 4pq?

योग

उत्तर

In order to find the solution, subtract 3pq + 5p2q2 + p3 from p3 + 2p2q2 + 4pq

Required expression is p3 + 2p2q2 + 4pq – (3pq + 5p2q2 + p3) = p3 + 2p2q2 + 4pq – 3pq – 5p2q2 – p3

On combining the like terms,

= p3 – p3 + 2p2q2 – 5p2q2 + 4pq – 3pq

= –3p2q2 + pq

So, If we add –3p2q2 + pq in 3pq2 + 5p2q2 + p3, we get p3 + 2p2q2 + 4pq.

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अध्याय 10: Algebraic Expressions - Exercise [पृष्ठ ३२१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 10 Algebraic Expressions
Exercise | Q 59. (b) | पृष्ठ ३२१

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