How do you multiply (x^{2}+3x-2)(2x^{2}+5x+9)?

Kiribatiyo2

Kiribatiyo2

Answered question

2022-02-11

How do you multiply (x2+3x2)(2x2+5x+9)?

Answer & Explanation

Sam Jensen

Sam Jensen

Beginner2022-02-12Added 13 answers

(x2+3x2)(2x2+5x+9)
We need to multiply each term within the first bracket with all three terms of the second bracket.
=(x2)(2x2+5x+9)+3x(2x2+5x+9)(2)(2x2+5x+9)
=2x4+5x3+9x2+6x3+15x2+27x4x210x18
Grouping like terms:
=2x4+(5x3+6x3)+(9x24x2+15x2)+(27x10)18
=2x4+11x3+20x2+17x18

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