Distributing Binomials and Combining Terms

The video tutorial explains how to multiply binomials using the double distribution method. It provides two examples: the first involves multiplying (5x + 2y) by (7x - 3y), and the second involves multiplying (5a - 2bc) by (3a - 7bc). The instructor emphasizes the importance of maintaining alphabetical order for variables and demonstrates how to combine like terms to form a trinomial.

What is the process of multiplying binomials also known as?

• Single distribution

• Quadruple distribution

• Double distribution

• Triple distribution

In the expression (5x + 2y)(7x - 3y), what is the result of distributing 2y across 7x?

• 14x^2

• 14y^2

• 14xy

• 14

What is the result of distributing 2y across -3y in the expression (5x + 2y)(7x - 3y)?

• -6

• -6x^2

• -6y^2

• -6xy

What is the result of distributing 5x across 7x in the expression (5x + 2y)(7x - 3y)?

• 35x^2

• 35y^2

• 35

• 35xy

What is the final trinomial after combining like terms in the expression (5x + 2y)(7x - 3y)?

• 35x^2 - 1xy + 6y^2

• 35x^2 + xy - 6y^2

• 35x^2 - 1xy - 6y^2

• 35x^2 - xy - 6y^2

What is the first step in multiplying (5a - 2bc) by (3a - 7bc)?

• Distribute -2bc across -7bc

• Distribute 5a across -7bc

• Distribute -2bc across 3a

• Distribute 5a across 3a

What is the result of distributing -2bc across 3a in the expression (5a - 2bc)(3a - 7bc)?

• -6a^2

• -6

• -6b^2c

• -6abc

What is the result of distributing -2bc across -7bc in the expression (5a - 2bc)(3a - 7bc)?

• 14a^2

• 14b^2c^2

• 14

• 14abc

What is the common base when distributing -2bc across -7bc?

• b^2c^2

• bc

• abc

• a^2

What is the result of distributing -2bc across 3a?

• -6a^2

• -6

• -6abc

• -6b^2c