Question

practice factoring a difference of squares. which expressions represent a perfect square monomial and its square root? check all that apply. 121; 11 4x2; 2x 9x2 – 1; 3x - 1 25x; 5x 49x4; 7x2

Answer 1

The perfect square monomial and its square root are shown in options 1, 2, and 5.

• A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
• 1) 121, 11
• 11² = 121
• A perfect square monomial and its square root are represented by this equation.
• 2) 4x², 2x
• (2x)² = 4x²
• A perfect square monomial and its square root are represented by this equation.
• 3) 9x²-1, 3x-1
• (3x-1)² = 9x²- 6x +1
• This phrase does not depict a square monomial and its square root in perfect form.
• 4) 25x, 5x
• (5x)² = 25x²
• This phrase does not depict a square monomial and its square root in perfect form.
• 5) 49(x^4), 7x²
• (7x²)² = 49(x^4)
• A perfect square monomial and its square root are represented by this equation.

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