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Daniel [21]
2 years ago
9

What quadratic expression represents (2x+5)(7-4x)

Mathematics
2 answers:
aliina [53]2 years ago
7 0

Answer:

-8x² -6x + 35

Step-by-step explanation:

A expression is given to us and we need to find out the quadratic equation . For that Multiply the two terms of the quadratic equation. The given expression is ,

<u>Given</u><u> </u><u>expression</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies ( 2x +5)( 7 - 4x )

<u>Multiply</u><u> </u><u>the</u><u> </u><u>terms</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies 2x ( 7 - 4x )+5(7-4x)

<u>Simplifying</u><u> the</u><u> brackets</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies 14x - 8x^2 + 35 - 20x

<u>Rearrange</u><u> </u><u>and</u><u> </u><u>simp</u><u>l</u><u>ify</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies -8x^2 -6x + 35

<u>Therefore</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies\boxed{ \rm Quadratic\ Equation \ = -8x^2 -6x + 35}

den301095 [7]2 years ago
6 0

<h2><u>Answer</u><u> </u>:)</h2>

  • \sf{(2x+5)(7-4x)   }

  • \sf{2x(7-4x)+5(7-4x)   }

  • \sf{14x-8x^{2}+35-20x   }

  • \sf{ -8x^{2}-6x+35  }

\\\\\\

<u>Therefore</u><u> </u>

  • \sf{Option~ D ~is ~correct    }

\sf{   }

\sf{   }

\sf{   }

\sf{   } \sf{   } \sf{   } \sf{   } \sf{   }

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