How can you use the distributive property to factor the expression 3/4x+9/4
AAAaannndd the bot gets it wrong yet again!
3/4x+9/4 = 1/4 (3x+9) = 3/4 (x+3)
To use the distributive property to factor the expression 3/4x + 9/4, you can take out the common factor of 1/4 from both terms. Here's a step-by-step breakdown:
Step 1: Identify the common factor. In this case, the common factor is 1/4.
Step 2: Divide each term by the common factor. Divide 3/4x by 1/4, and divide 9/4 by 1/4.
(3/4x)/(1/4) + (9/4)/(1/4)
Step 3: Simplify the division. When you divide a fraction by another fraction, you can multiply the first fraction by the reciprocal of the second fraction.
(3/4x) * (4/1) + (9/4) * (4/1)
Step 4: Simplify the expressions.
3x + 9
Therefore, factoring the expression 3/4x + 9/4 using the distributive property gives you the factored form of 3x + 9.
To factor an expression using the distributive property, we can take out the common factor from each term. In this case, the common factor is 3/4.
Step 1: Write down the expression.
3/4x + 9/4
Step 2: Take out the common factor from each term.
(3/4)(x) + (3/4)(9)
Step 3: Simplify each term.
(3x/4) + (27/4)
Step 4: Combine the terms.
3x/4 + 27/4
So, the factored form of the expression 3/4x + 9/4 is (3/4)(x) + (3/4)(9) which simplifies to 3x/4 + 27/4.
The distributive property states that a(b + c) = ab + ac. Applying this to the expression 3/4x + 9/4, we can factor it as follows:
3/4x + 9/4 = (3/4x)(1) + (9/4)(1)
= 3/4x + 9/4