78) $$ 6(2 x-3)^{2}(3 x-1)^{2}+6(3 x-1)(2 x-3)^{3} $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 6(2x-3)^2(3x-1)^2+6(3x-1)(2x-3)^3 $$.
Simplify the expression by following steps:
- step0: Solution:
  $$6\left(2x-3\right)^{2}\left(3x-1\right)^{2}+6\left(3x-1\right)\left(2x-3\right)^{3}$$
- step1: Multiply the terms:
  $$6\left(2x-3\right)^{2}\left(3x-1\right)^{2}+6\left(2x-3\right)^{3}\left(3x-1\right)$$
- step2: Expand the expression:
  $$216x^{4}-792x^{3}+942x^{2}-396x+54+6\left(2x-3\right)^{3}\left(3x-1\right)$$
- step3: Expand the expression:
  $$216x^{4}-792x^{3}+942x^{2}-396x+54+144x^{4}-696x^{3}+1188x^{2}-810x+162$$
- step4: Add the terms:
  $$360x^{4}-1488x^{3}+2130x^{2}-1206x+216$$
The simplified expression is $$360x^{4}-1488x^{3}+2130x^{2}-1206x+216$$.
The simplified expression is $$360x^{4}-1488x^{3}+2130x^{2}-1206x+216$$.

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Algebra Questions