Question

- A pair of shoes costs $(4x2 - 9) and a bag costs $(2x2 - 3x + 5). Find the total cost of five such pairs of shoes and four of the bags, in terms of x. ​

Answer 1

Answer:

${28x}^{2} - 12x - 25$

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Answer 2

Answer:

28x^2 - 12x - 25

Step-by-step explanation:

5 such pairs of shoes: 5(4x^2 - 9)

4 of the same bags: 4(2x^2 - 3x + 5)

Step 1: Expand

5(4x^2 - 9) = 20 x^2 - 45

4(2x^2 - 3x + 5) = 8x^2 - 12x + 20  

Step 2: Simplify

20x^2 + 8 x^2 = 28 x^2

12x + (no like terms) = 12x

-45 + 20 = -25

Step 3: Final Answer

28 x^2 + 12 x - 25