Operations of Polynomial

Operations of Polynomial – Bahupad Jod, Bahupad Ghatav, Bahupad Guna, Bahupad Bhag

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Bahupad Jod

3x² + 4xy + 2y² and 5y² – xy + 7x²

Solution – 3x² + 4xy + 2y² + 5y² – xy + 7x²

(3x² + 7x²) + (4xy – xy) + (2y² + 5y²)

10x² + 3xy + 7y²     Ans

Bahupad Ghatav

3xy² + 4xy – 6x²y + y³ and 8xy² + 7xy + x²y

Solution  – 8xy² + 7xy + x²y – (3xy² + 4xy – 6x²y + y³)

8xy² + 7xy + x²y – 3xy² – 4xy + 6x²y – y³

(8xy² – 3xy²) + (7xy – 4xy) + (x²y + 6x²y) – y³

5xy² + 3xy + 7x²y – y³ Ans

Bahupad Guna

(2x+3y)⨯(3x+2y)

Solution = 2x⨯(3x+2y) + 3y⨯(3x+2y)

= 2x⨯3x + 2x⨯2y + 3y⨯3x + 3y⨯2y

= 6x² + 4xy + 9xy + 6y²

= 6x² + 13xy + 6y² Ans

Bahupad Bhag

(7a² + 14a) ÷ (a + 2)

Solution = (7a² + 14a)/(a + 2) = 7a(a + 2)/(a + 2) = 7a Ans