- 670. Present as a polynomial: 1) $$ 6 x(x-3)-x(2-x) $$ 2) $$ -a^{2}(3 a-5)+4 a\left(a^{2}-a\right) $$

Question

UpStudy AI · Accepted Answer

Expand the expression $$ 6x(x-3)-x(2-x) $$
Simplify the expression by following steps:
- step0: Subtract the terms:
  $$6x\left(x-3\right)-x\left(2-x\right)$$
- step1: Expand the expression:
  $$6x^{2}-18x-x\left(2-x\right)$$
- step2: Expand the expression:
  $$6x^{2}-18x-2x+x^{2}$$
- step3: Add the terms:
  $$7x^{2}-20x$$
Expand the expression $$ -a^{2}(3a-5)+4a(a^{2}-a) $$
Simplify the expression by following steps:
- step0: Add the terms:
  $$-a^{2}\left(3a-5\right)+4a\left(a^{2}-a\right)$$
- step1: Expand the expression:
  $$-3a^{3}+5a^{2}+4a\left(a^{2}-a\right)$$
- step2: Expand the expression:
  $$-3a^{3}+5a^{2}+4a^{3}-4a^{2}$$
- step3: Add the terms:
  $$a^{3}+a^{2}$$
The expanded forms of the given expressions are:

1) $$ 7x^{2}-20x $$
2) $$ a^{3}+a^{2} $$
1) $$ 7x^{2}-20x $$ 2) $$ a^{3}+a^{2} $$

Present as a polynomial:

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions