What is the simpler form of the product? (5x-3y^5)^2
Answer:
\(25x^2-30xy^5+9y^{10}\)
Step-by-step explanation:
Using square binomial formula:
\((a-b)^2 = a^2-2ab+b^2\)
To find the simpler form of the product:
\((5x-3y^5)^2\)
Apply the square binomial formula:
\((5x)^2-2(5x)(3y^5)+(3y^5)^2\)
Using exponent rules:
\((a^n)^m =a^{nm}\)
⇒\(25x^2-30xy^5+9y^{10}\)
therefore, the simpler form of the product is, \(25x^2-30xy^5+9y^{10}\)