Multiply (x + 3y + 5) by (2x2 + 5y + 2)
A. 2x
2 + 3yx
2 + 10xy + 15y
2 + 13y + 10x
2 + 2x + 10
B. 2x
3 + 6yx
2 + 5xy + 15y
2 + 31y + 5x
2 + 2x + 10
C. 2x
3 + 6xy
2 + 5xy + 15y
2 + 12y + 10x
2 + 2x = 10
D. 2x
2 + 6xy
2 + 5xy + 15y
2 + 13y + 10x
2 + 2x + 10
E. 2x
3 + 2yx
2 + 10xy + 10y
2 + 31y + 5x
2 + 10
Correct Answer: B
Explanation
\((x + 3y + 5)(2x^{2} + 5y + 2)\)
= \(2x^{3} + 5xy + 2x + 6yx^{2} + 15y^{2} + 6y + 10x^{2} + 25y + 10\)
= \(2x^{3} + 5xy + 2x + 6yx^{2} + 15y^{2} + 31y + 10x^{2} + 10\)
