Polynomial identities and the Binomial Theorem
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
On a worksheet, Tala checks (x² + y²)² = (x² − y²)² + (2xy)² with x = 3 and y = 2. What number does each side equal?
In a notebook, Zee tests the identity (x² + y²)² = (x² − y²)² + (2xy)² at x = 4, y = 1. What does each side equal?
Esme puts x = 5 and y = 2 into (x² + y²)² = (x² − y²)² + (2xy)² in pencil. What number is each side?
On a puzzle card, Jun makes a right triangle from (x² + y²)² = (x² − y²)² + (2xy)² with x = 4, y = 3. What is each side's value?
On a worksheet, Kira expands (x + 2)⁴ with Pascal's triangle. Type powers like x^4. What is it in fewest terms?
In a notebook, Luz uses the Binomial Theorem on (x − 1)⁵. Type powers like x^5. What is the expansion?
On a worksheet, Pia completes the identity (x + 3)² − (x − 3)² = ▢x. What number goes in the box?
In a notebook, Ren writes (x + 5)² − (x − 5)² = ▢x, true for every x. What number goes in the box?
Tala finishes the identity (x + 2y)² − (x − 2y)² = ▢xy in pencil. What number goes in the box?
On a puzzle card, (x + 6y)² − (x − 6y)² = ▢xy for every x and y. Zee needs the box. What number is it?