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11 March, 01:07

Steps

Result

(2x - 3) (5x2 - 2X+7)

Use the distributive property to multiply

2x times each term in the trinomial.

10x3 - 4x2 + 14x

(result for this step only)

2 Use the distributive property to multiply

-3 times each term in the trinomial.

10x - 4x? + 14X - 15x² - 6x-

(result for step 1 and 2)

| 10² - 19x² + 144 - 6x-21

3 Use the addition property to combine

the x? terms.

4 Use the addition property to combine

the x terms

10x3 - 19x2 + 8X-21

In which step did Fiona make an error?

+4
Answers (1)
  1. 11 March, 01:58
    0
    step 2

    Step-by-step explanation:

    Given

    (2x - 3) (5x² - 2x + 7)

    2x (5x² - 2x + 7) = 10x³ - 4x² + 14x ← step 1 is correct

    - 3 (5x² - 2x + 7) = - 15x² + 6x - 21 ← step 2 in her working is incorrect

    Adding the results from step 1 and step 2

    10x³ - 4x² + 14x - 15x² + 6x - 21 ← collect like terms

    = 10x³ - 19x² + 20x - 21
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