Britney used commutative property of addition and distributive property of multiplication over addition to get to step
The answer is II and IV ⇒ answer 4
Step-by-step explanation:
The quadratic equation is:
3x² - 8 - 10x = 3(2x + 3)
Britney's step is:
3x² - 10 x - 8 = 6x + 9
Lets explain the meaning of:
1. Commutative property of addition is: you can add a and b or b and a
both give the same answer
2. Distributive property of multiplication over addition is: when the
number a is multiplied by the sum of two numbers (b + c), the
first number a can be distributed to both b and c and multiplied
by each of them separately, then adding the two products ab and
ac together for the same result as multiplying the first number a by
the sum (b + c) ⇒ a(b + c) = ab + ac
3. Addition property of equality is: the property that states if you
add the same number to both sides of an equation, the sides
remain equal
4. Multiplication property of equality is: The property that states if
you multiply both sides of an equation by the same number, the
sides remain equal
Now let us explain Britney's step
∵ She change the places of the terms - 10x and - 8
- She arranges the terms of the left hand side from greatest power
of x to the numerical term
∴ She used the commutative property of addition
∵ She multiplied 3 by 2x and multiplied 3 by 3
- She multiplied the number out side the bracket by each of the
two terms in the bracket
∴ She used the distributive property of multiplication over addition
Britney used commutative property of addition and distributive property of multiplication over addition to get to step
The answer is number 4) II and IV
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