Squaring a Binomial

BOX 2: Simplify

(a + b)² =

• a² + 2ab + b²

• a² - b²

• a³ + b³

• a² + ab + b²

Simplify: (3x + 4y)²

• 9x² + 24xy + 16y²

• 9x² + 16y²

• x² - y²

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(n + 8)²

• 2n + 16n + 64

• n² + 16n + 64

• n² + 64

• n² + 8n + 64

Simplify. 
(x − 8)²

• x² + 16x  − 64

• x² − 16x + 64

• x² − 64

• x² + 16x + 64

Your classmate was asked to square (2x – 3), he answered 4x² − 9. Is his answer correct?

• Yes, because product rule is correctly applied.

• Yes, because squaring a binomial always produces a binomial product.

• No, because the answer must be 4x² + 9.

• No, because squaring a binomial always produces a trinomial product.

Square of a Binomial results into ___________?

• Perfect Square Trinomial

• Difference of two squares

• Six terms

• General Trinomial

• Product of sum & difference of two Binomials

• Square of a Binomial

• Product of Binomials

• Square of Trinomial

What are the steps in squaring binomial?

• Multiply the two terms.

• Square the first term.

• Twice the product of the first and last term.

• Square the last term.

• Thrice the product of the first and last term.