Learn how to simplify an expression by using distributive property, 3(x^2 + 7x)

The video tutorial explains the application of the distributive property in algebraic expressions, emphasizing when it is necessary to use it, particularly when terms are separated by addition or subtraction. It contrasts this with simple multiplication, where distributive property is not needed. The tutorial also covers combining like terms in addition and subtraction, and the multiplication of coefficients and variable factors, highlighting the importance of understanding these concepts in algebra.

When should the distributive property be applied?

• When terms are separated by multiplication

• When terms have the same variable factors

• When terms are separated by addition or subtraction

• When terms are grouped with parentheses

What is the result of applying the distributive property to 3 * (X^2 + 7X)?

• 21X^2 + 7X

• 3X^2 + 7X

• 3X^2 + 21X

• 3X^2 + 7

How do you multiply the coefficients and variable factors in the expression 3 * X^2?

• Multiply the coefficients and add the exponents

• Add the coefficients and exponents

• Multiply the coefficients and subtract the exponents

• Add the coefficients and multiply the variables

What is the result of multiplying 3 * 7 in the expression 3 * 7X?

• 10X

• 21X

• 3X

• 7X

What is the exponent of X in the expression 3 * X^0 * X^2?

• 3

• 1

• 0

• 2