Expand (5x + 3y)³ using Pascal's Triangle. A) 125x³ + 45x²y + 75xy² + 27y³ B) 125x³ + 75x²y + 45xy² + 27y³ C) 125x³ + 225x²y + 135xy² + 27y³ D) 125x³ + 135x²y + 225xy² + 27y³

Question

Quizplus · Accepted Answer

To expand $(5x + 3y)^3$ using Pascal's Triangle, we use the coefficients from the row corresponding to $n=3$, which are 1, 3, 3, 1. The expansion is $(5x)^3 + 3(5x)^2(3y) + 3(5x)(3y)^2 + (3y)^3$, simplifying to $125x^3 + 225x^2y + 135xy^2 + 27y^3$.

Expand (5x + 3y)3 Using Pascal's Triangle

Expand (5x + 3y)³ Using Pascal's Triangle