Binomial Expansion and Patterns

Mrs. Yaod introduces Algebra 1 students to special products of polynomials, focusing on the square of a binomial and the sum and difference patterns. She explains shortcuts for these patterns and demonstrates them using the distributive and box methods. Students are encouraged to practice problems and understand the importance of standard form in polynomials.

What is the shortcut for finding the square of a binomial (a + b)^2?

• a^2 + 2ab + b^2

• a^2 - b^2

• a^2 - 2ab + b^2

• a^2 + b^2

Tags

CCSS.HSA.APR.C.4

In the distributive method, what is the result of multiplying (a + b)(a + b)?

• a^2 + 2ab + b^2

• a^2 + ab + b^2

• a^2 - 2ab + b^2

• a^2 + b^2

Tags

CCSS.HSA.APR.C.4

What is the result of using the box method for (a - b)^2?

• a^2 + 2ab + b^2

• a^2 - 2ab + b^2

• a^2 - b^2

• a^2 + b^2

Tags

CCSS.HSA.APR.C.4

What is the shortcut for the sum and difference pattern (a + b)(a - b)?

• a^2 - b^2

• a^2 + b^2

• a^2 - 2ab + b^2

• a^2 + 2ab + b^2

Tags

CCSS.HSA.APR.A.1

If x + 3 and x - 3 are multiplied, what is the result?

• x^2 + 9

• x^2 - 9

• x^2 - 6x + 9

• x^2 + 6x + 9

Tags

CCSS.HSA.APR.C.4

What is the expanded form of (a + 3)^2 using the shortcut?

• a^2 + 6a + 9

• a^2 + 9

• a^2 + 3a + 9

• a^2 + 6a

Tags

CCSS.HSA.APR.C.4

What is the result of (x - 2)^2 using the shortcut?

• x^2 - 4x + 4

• x^2 + 4x + 4

• x^2 + 4

• x^2 - 4

Tags

CCSS.HSA.APR.C.4

What is the result of (3x + 4)(3x - 4) using the sum and difference pattern?

• 9x^2 - 16

• 9x^2 - 24x + 16

• 9x^2 + 24x + 16

• 9x^2 + 16

Tags

CCSS.HSA.APR.A.1

What is the expanded form of (t + 11)(t - 11)?

• t^2 + 121

• t^2 - 121

• t^2 + 22t + 121

• t^2 - 22t + 121

Tags

CCSS.HSA.APR.C.4

What is the result of (1/2c + 1/3)(1/2c - 1/3) using the sum and difference pattern?

• 1/4c^2 - 2/3c + 1/9

• 1/4c^2 + 2/3c + 1/9

• 1/4c^2 - 1/9

• 1/4c^2 + 1/9

Tags

CCSS.HSA.APR.C.4