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Algebraic Expressions And Identities

Question

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Classify the coefficient of each term in the expression
x²y² – 10x²y + 5xy² – 20.

Solution

Coefficient of x²y² is 1.

Coefficient of x²y is –10. Coefficient of xy² is 5.

Some More Questions From Algebraic Expressions and Identities Chapter

3 - pq + pr - rp

03.a - 0.6ab + 0.5b

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?

x + y, 1000, x + x²+x³+x^4,7 + y +5x, 2y - 3y²+4y² , 4z -15x², ab +bc + cd +da, p²q + pq², 2p + 2q.

Add the following:

ab - bc, bc - ca, ca - ab

Add the following:

a - b + ab, b - c + bc, c -a +ac

2p²q²- 3pq + 4, 5 +7pq - 3p²q²

Add the following:

1²+ m², m²+ n² , n² +l², 21m + 2mn + 2nl

Subtract 4a - 7ab + 3b + 12 from 12a - 9ab + 5b - 3

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