Mastering Special Products

Which of the following polynomials is a result of squaring a binomial? 

Tags

CCSS.HSA.APR.C.5

(3m + 1)(3m – 1)

• 9m² – 1

• 9m² – 6m – 1

• 9m² + 1

• 9m² + 6m – 1

Multiply (2y - 3)³

• 8y³ - 18y² + 54y - 27

• 8y³ - 36y² + 54y - 27

• 8y³ + 36y² + 54y + 27

• 8y³ + 18y² - 54y + 27

Which of the following represents the cube of binomial of two numbers?

What will be the expanded form of  the expression  if a number is increased by 7 and then multiplied by itself?

• 2x + 49

• x² + 7

• x² + 49

• x² + 14x + 49

A school is designing a square garden with a walkway around it that is 3 meters wide. If the side of the square garden itself is x meters, what will be the total area of the garden including the walkway?

A farmer wants to build a rectangular chicken pen where the length is 12 meters more than its width. The area of the pen can be expressed as (w+12)(w−12). Write the expression in simplified form.

What does the term “special products” mean?

• multiplying numbers with special rules

• multiplying variables with no terms

• patterns from multiplying binomials

• products of numbers that are prime