Q7 Simplify the product of I
(2x - 5y ^ 3) ^ 2
To simplify the product of (2x - 5y^3)^2, we need to square the expression:
(2x - 5y^3)^2 = (2x - 5y^3)(2x - 5y^3)
To simplify this product, we can use the distributive property and FOIL method:
= (2x)(2x) + (2x)(-5y^3) + (-5y^3)(2x) + (-5y^3)(-5y^3)
= 4x^2 - 10xy^3 - 10xy^3 + 25y^6
= 4x^2 - 20xy^3 + 25y^6
Therefore, the simplified product of (2x - 5y^3)^2 is 4x^2 - 20xy^3 + 25y^6.