Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

score: 22/100 answered: 2/11 question 3 simplifying algebraic expressio…

Question

score: 22/100 answered: 2/11 question 3 simplifying algebraic expressions simplify by using the distributive property and combining like terms. numbers must be written as integers or reduced fractions. be sure to use the correct variables in your answers. -5(-2x + 6)= 9(-7w^2 - 8w + 1)= -(-4t^2 + 8t + 4)= 3/5(1/4x + 1/3)=

Explanation:

Step1: Apply distributive property to -5(-2x + 6)

-5\times(-2x)+(-5)\times6 = 10x - 30

Step2: Apply distributive property to 9(-7w² - 8w + 1)

9\times(-7w²)+9\times(-8w)+9\times1=-63w² - 72w + 9

Step3: Apply distributive property to -(-4t² + 8t + 4)

-1\times(-4t²)+(-1)\times8t+(-1)\times4 = 4t² - 8t - 4

Step4: Apply distributive property to $\frac{3}{5}(\frac{1}{4}x+\frac{1}{3})$

$\frac{3}{5}\times\frac{1}{4}x+\frac{3}{5}\times\frac{1}{3}=\frac{3}{20}x+\frac{1}{5}$

Answer:

  1. $10x - 30$
  2. $-63w² - 72w + 9$
  3. $4t² - 8t - 4$
  4. $\frac{3}{20}x+\frac{1}{5}$