Multiply (x + 3y + 5) by (2x2 + 5y + 2)
A
2x2 + 3yx2 + 10xy + 15y2 + 13y + 10x2 + 2x + 10
B
2x3 + 6yx2 + 5xy + 15y2 + 31y + 10x2 + 2x + 10
C
2x3 + 6xy2 + 5xy + 15y2 + 12y + 10x2 + 2x + 10
D
2x2 + 6xy2 + 5xy + 15y2 + 13y + 10x2 + 2x + 10
E
2x3 + 2yx2 + 10xy + 10y2 + 31y + 5x2 + 10
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\((x + 3y + 5)(2x^{2} + 5y + 2)\)
= \(2x^{3} + 5xy + 2x + 6yx^{2} + 15y^{2} + 6y + 10x^{2} + 25y + 10\)
= \(2x^{3} + 5xy + 2x + 6yx^{2} + 15y^{2} + 31y + 10x^{2} + 10\)
Source: Myschool Past Questions Archive (Record #32687)