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

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

Answer

Explanation:

Step1: Expand each option

For option 1: ((2x - 11)(3x + 5)=2x\times3x+2x\times5-11\times3x - 11\times5=6x^{2}+10x-33x - 55=6x^{2}-23x - 55) For option 2: ((2x + 11)(3x - 5)=2x\times3x-2x\times5+11\times3x-11\times5=6x^{2}-10x + 33x-55=6x^{2}+23x - 55) For option 3: ((6x - 11)(x + 5)=6x\times x+6x\times5-11\times x-11\times5=6x^{2}+30x-11x - 55=6x^{2}+19x - 55) For option 4: ((6x + 11)(x - 5)=6x\times x-6x\times5+11\times x-11\times5=6x^{2}-30x+11x - 55=6x^{2}-19x - 55)

Answer:

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