a student factors $10x^{2}+3x - 27$ to the following. $(2x - 3)(5x + 9)$ which statement about $(2x - 3)(5x…

a student factors $10x^{2}+3x - 27$ to the following. $(2x - 3)(5x + 9)$ which statement about $(2x - 3)(5x + 9)$ is true? the expression is equivalent, and it is completely factored. the expression is equivalent, but it is not completely factored. the expression is not equivalent, but it is completely factored. the expression is not equivalent, and it is not completely factored.

a student factors $10x^{2}+3x - 27$ to the following. $(2x - 3)(5x + 9)$ which statement about $(2x - 3)(5x + 9)$ is true? the expression is equivalent, and it is completely factored. the expression is equivalent, but it is not completely factored. the expression is not equivalent, but it is completely factored. the expression is not equivalent, and it is not completely factored.

Answer

Explanation:

Step1: Expand the factored form

$(2x - 3)(5x+9)=2x\times5x+2x\times9-3\times5x - 3\times9=10x^{2}+18x-15x - 27=10x^{2}+3x - 27$

Step2: Check if it's completely factored

The factors $(2x - 3)$ and $(5x + 9)$ are linear binomials and cannot be factored further over the integers.

Answer:

The expression is equivalent, and it is completely factored.