Mathematics : Algebraic Expressions and Identities

Subtract 4p²q - 3pq 5pq² -8p + 7q - 10  from
18 - 3p - 11q + 5pq - 2pq² +5p²q

Classify the following into monomials, binomials, and trinomials:

a – b, –9, 10y, 61 + 5m, 5xy², a – b + c, a + 5, x²y + xy² – xy, –3xy, 7 – 3xyz

3. Add: 7x² – 4x + 5 and 9x - 10

4. Add: 7xy + 5yz – 3zx; 4yz + 9zx – 4y and –3xz + 5x – 2xy

5. Subtract: 5x² – 4y² + 6y – 3 from 7x² – 4xy + 8y² + 5x – 3y

Add: 7x² – 4x + 5 and 9x - 10

Add: 7xy + 5yz – 3zx; 4yz + 9zx – 4y and –3xz + 5x – 2xy

 Subtract: 5x² – 4y² + 6y – 3 from 7x² – 4xy + 8y² + 5x – 3y

Find 4x x 5y x 7z. First find 4x x 5y and multiply it by 7z; or first find 5y x 7z and multiply it by 4x. Is the result the same? What do you observe? Does the order in which you carry out the multiplication matter?

Find the product of the following pairs of monomials.

4, 7p

Find the product of the following pairs of monomials.

-4p, 7p

Find the product of the following pairs of monomials.
-4p, 7pq

Find the product of the following pairs of monomials.
4p³, -3p