Respuesta :
Steps for multiplying the given binomial and trinomial [tex] (2x-3)\times (5x^{2}-2x+7) [/tex] are:
Step 1: [tex] 2x\times (5x^{2}-2x+7)-3 \times (5x^{2}-2x+7) [/tex]
Step 2: [tex] 10x^{3}-4x^{2}+14x-15x^{2}+6x-21 [/tex]
Step 3: [tex] 10x^{3}-19x^{2}+20x-21 [/tex]
Answer:
10x³ -19x² + 20x -21.
Step-by-step explanation:
Given : (2x – 3)(5x² – 2x + 7).
To find : wrote out the description of each step for her multiplication of the binomial and trinomial.
Solution : We have given
(2x – 3)(5x² – 2x + 7).
Step 1: Distribute 2x over (5x² – 2x + 7) and - 3 over (5x² – 2x + 7).
2x (5x² – 2x + 7) - 3 (5x² – 2x + 7).
10x³ - 4x² + 14x - 15x² + 6x -21.
Step 2: Combine like terms
10x³ - 4x² - 15x² + 14x + 6x -21.
Step 3: Solve the like terms.
10x³ -19x² + 20x -21.
Therefore, 10x³ -19x² + 20x -21.
