Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it? 81 y Superscript 4 Baseline minus 16 x squared, a perfect square trinomial 81 y Superscript 4 Baseline minus 16 x squared, the difference of squares 81 y Superscript 4 Baseline minus 72 x y squared minus 16 x squared, a perfect square trinomial 81 y Superscript 4 Baseline minus 72 x y squared minus 16 x squared, the difference of squares
Accepted Solution
A:
Answer:Option B 81 y Superscript 4 Baseline minus 16 x squared, the difference of squares is correct.Step-by-step explanation:We need to solve:(9y^2 -4x)(9y^2+4x)Finding the product:9y^2(9y^2+4x) -4x(9y^2+4x)81y^4+36y^2x-36y^2x-16x^281y^4 - 16x^2Type of Special productThe product is differences of square because81y^4 = (9y^2)^2 and 16x^2 = (4x)^2So, 81y^4 - 16x^2 = (9y^2)^2 - (4x)^2Hence Option B 81 y Superscript 4 Baseline minus 16 x squared, the difference of squares is correct.