Answer:
Step-by-step explanation:
the product is a result of multiplication....so lets multiply
x^2 (x^4 + x^2 - 1) =
x^6 + x^4 - x^2
ok...his mistakes are occurring because he is multiplying the exponents when he is supposed to be adding them.
exponent rule : x^a * x^b = x^(a + b)
<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
It would be:
(8 x 3 + 6) divided by 15
because of PEMDAS.
The area of the rectangle would be 375
(0,7) and (3,1) are points on the line.
Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)
Slope of line passing through (0, 7) and (3, 1) = (1-7)/(3-0) = -2