Frank2228 Frank2228
  • 08-02-2024
  • Mathematics
contestada

2. Simplify the following:
d) -42xy^{2}+7xy

(e) -45x^{2}\div3x+14x^{2}\div7x

f)35a^{2}b\times2ab+7ab-10a^2​

Respuesta :

devishri1977
devishri1977 devishri1977
  • 08-02-2024

Answer:

d) 7xy(-6y + 1)

e) -13x

Step-by-step explanation:

Simplify:

d) -42xy² + 7xy

-42xy² = 7 * (-6) * x * y²

7xy      = 7 *  x * y

HCF = 7xy

Take the common term 7xy from (-42xy² + 7xy)

-42xy² + 7xy = 7xy * (-6y) + 7xy * 1

                     = 7xy*(-6y + 1)

e)

[tex]\sf \dfrac{-45x^2}{3x}+\dfrac{14x^2}{7x}=\dfrac{3*(-15)*x*x}{3*x}+\dfrac{7*2*x*x}{7*x}\\\\\\[/tex]

                       = -15x + 2x

                       = -13x

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