which expression is equivalent to 6x² - 19x - 55?\n(2x - 11)(3x + 5)\n(2x + 11)(3x - 5)\n(6x - 11)(x +…

which expression is equivalent to 6x² - 19x - 55?\n(2x - 11)(3x + 5)\n(2x + 11)(3x - 5)\n(6x - 11)(x + 5)\n(6x + 11)(x - 5)

which expression is equivalent to 6x² - 19x - 55?\n(2x - 11)(3x + 5)\n(2x + 11)(3x - 5)\n(6x - 11)(x + 5)\n(6x + 11)(x - 5)

Answer

planation:

Step1: Expand each option

  1. Expand ((2x - 11)(3x + 5)): Using the FOIL method ((a + b)(c + d)=ac+ad+bc+bd), we have ((2x)\times(3x)+(2x)\times(5)+(- 11)\times(3x)+(-11)\times(5)=6x^{2}+10x-33x - 55=6x^{2}-23x - 55).
  2. Expand ((2x + 11)(3x - 5)): ((2x)\times(3x)+(2x)\times(-5)+(11)\times(3x)+(11)\times(-5)=6x^{2}-10x + 33x-55=6x^{2}+23x - 55).
  3. Expand ((6x - 11)(x + 5)): ((6x)\times(x)+(6x)\times(5)+(-11)\times(x)+(-11)\times(5)=6x^{2}+30x-11x - 55=6x^{2}+19x - 55).
  4. Expand ((6x + 11)(x - 5)): ((6x)\times(x)+(6x)\times(-5)+(11)\times(x)+(11)\times(-5)=6x^{2}-30x+11x - 55=6x^{2}-19x - 55).

Answer:

((6x + 11)(x - 5))