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What is the difference of the two polynomials?

(9x2 + 8x) – (2x2 + 3x)

a) 7x2 + 5x
b) 7x2 + 11x
c) 11x2 + 5x
d) 11x2 + 11x

Respuesta :

wegnerkolmp2741o

Answer:

a) 7x^2 + 5x

Step-by-step explanation:

(9x^2 + 8x) – (2x^2 + 3x)

Distribute the minus sign

(9x^2 + 8x) – 2x^2 - 3x

Line them up vertically

  (9x^2 + 8x)

– 2x^2 - 3x

-------------------

7x^2     +5x

Ammimochi

Simplify

9x^2 + 8x - (2x^2 + 3x)

Simplify brackets

9x^2 + 8x - 2x^2 - 3x

Collect like terms

(9x^2 - 2x^2) + (8x - 3x)

Simplify

7x^2 + 5x

Answer: A. 7x2 + 5x

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