Square binomial

Front

What is a square binomial?

Back

A square binomial is an expression of the form \( (a + b)^2 \) or \( (a - b)^2 \), which can be expanded using the formula \( a^2 + 2ab + b^2 \) or \( a^2 - 2ab + b^2 \) respectively.

Front

Expand \( (7m - 2p)^2 \)

Back

\( 49m^2 - 28mp + 4p^2 \)

Front

Expand \( (x + y)^2 \)

Back

\( x^2 + 2xy + y^2 \)

Front

Expand \( (x + 1)^2 \)

Back

\( x^2 + 2x + 1 \)

Front

What is the coefficient of \( y \) in the expression \( 4 - 2y \)?

Back

-2

Front

Expand \( (5p - 6q)^2 \)

Back

\( 25p^2 - 60pq + 36q^2 \)

Front

What is the formula for expanding a square binomial?

Back

The formula is \( (a + b)^2 = a^2 + 2ab + b^2 \) or \( (a - b)^2 = a^2 - 2ab + b^2 \).

Front

What is the result of \( (a + b)^2 - (a - b)^2 \)?

Back

The result is \( 4ab \).

Front

If \( a = 3 \) and \( b = 4 \), what is \( (a + b)^2 \)?

Back

\( 49 \) (since \( (3 + 4)^2 = 7^2 = 49 \)).

Front

What is the difference between a binomial and a square binomial?

Back

A binomial is an expression with two terms (e.g., \( a + b \)), while a square binomial is the square of a binomial (e.g., \( (a + b)^2 \)).