Simplify (2x+7)-(6x-8)
2 answers:
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Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
Answer:
a difference of squares
Step-by-step explanation:
Let's write down the expression:
we can see that this expression is one of the form which is the general expression of a difference of squares.
To be more specific and to see why we say this, let's make and
Now, if we substitute this in the general formula, we get:
Thus, this expression is a difference of squares.