Answer:
A. [tex]10x^{2} + 33x^{2} +19x - 12[/tex]
Explanation:
[tex](2x + 3) (5^{2} + 9x - 4)\\[/tex]
Mutiply [tex]2x[/tex] by each number on the second bracket
[tex](2x) (5^{2} ) = 10x^{3} \\(2x) (9x ) = 18x^{2} \\(2x) (- 4 } ) = -8x[/tex]
Then mutiply 3 by each number on the second bracket
[tex](3) (5^{2} )= 15x^{2} \\(3) (9x) = 27x\\(3) (-4) = -12[/tex]
New equation:
[tex]10x^{3} + 18x^{2} + -8x + 15^{2} + 27x - 12[/tex]
Add all like terms
[tex]10x^{3} + 33x^{2} + 19x - 12[/tex]
