**Multiply binomials**

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When working with polynomials,the product of two binomials occurs repeatedly. There is a shortcut method for finding these products. Recall that a binomial has just two terms, such as

3*x *– 4 or 2*x *+ 3. We can find the product of these binomials using the distributive

property as follows.

(3x – 4)(2x + 3) = 3x(2x + 3) – 4(2x + 3)

= 3x (2x) + 3x(3) – 4(2x) – 4 (3)

= 6x^{2} + 9x – 8x – 12

**Find the product of the sum and difference of two terms**

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Some types of binomial products occur frequently. For example,

the product of the sum and difference of the same two terms, *x *and *y*, is

(x + y) (x – y) = x^{2} – xy + xy – y^{2} FOIL

= x^{2} – y^{2}.