Simplify the product:
2x−7

x+8
⋅4x(x−8)(x+8). Leave in factored form.

Question

Simplify the product: 
2x−7

x+8
⋅4x(x−8)(x+8). Leave in factored form.

BlackTom AI · Accepted Answer

To simplify the given product, start by identifying the two factors: (2x − 7)/(x + 8) and 4x(x − 8)(x + 8).

Notice that (x + 8) appears in both the numerator of the first fraction and as a factor in the second expression. Since we are multiplying these expressions, these common factors cancel: (2x − 7)/(x + 8) × 4x(x − 8)(x + 8) = (2x − 7) × 4x(x − 8) × [(x + 8)/(x + 8)].

The (x + 8) terms cancel, leaving 4x(2x − 7)(x − 8).

Thus, the product simplifies to 4x(2x − 7)(x − 8) in factored form.

If you prefer, you can rearrange the factors in any order, since multiplication is commutative; however, the factorization 4x(2x − 7)(x − 8) is already in a clean, factored form.

ALGII141-027 5.2 Practice Problems

Simplify the product: 2x−7 x+8 ⋅4x(x−8)(x+8). Leave in factored form.

查看解析

登录即可查看完整答案

类似问题

Given , calculate the quotient .

Subtract the rational expressions: 3y+2 y2−2y+1 − 2y+3 y2−2y+1 Simplify if possible.

Subtract the rational expressions: 13 9+p2 − 5 9+p2 Simplify if possible.

Add the rational expressions: 6 x+7 + 8 x+7 . Simplify if possible.

Subtract the rational expressions: 8 5b3 − 6 5b3 Simplify if possible.

Add the rational expressions: 7 2y+9 + 2 2y+9 Simplify if possible.

What are the excluded values of the product 14x x+2 ⋅ x x2+3x+2 ? Select all that apply.

Select all possible excluded values of the product: 2m−5⋅ 2m+5 4m2−20m+25 .

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单