Simplify the following number by using the imaginary number i square root of -19
1 answer:
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Answer:
(negative 7 x + 4)(negative 7 x minus 4)
Step-by-step explanation:
Consider two real numbers a and b. A difference of squares involving a and b is usually given as;
The difference of the two squares above can be factored to yield;
This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.
The expression;
(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)
( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)
Expanding the last expression yields;
-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares
Answer:
Step-by-step explanation:
Let the length of the rectangle be 'L' units
Width of the rectangle =(L-6) units
Area of the rectangle=
Area of a rectangle = Length*Width
Making the factors of the equation:
Taking common from the equation:
OR
As, the length of the rectangle cannot be negative, So,
Answer:
a) 4
b) 2
Step-by-step explanation:
a) multiply the coefficients and add the exponents
(4)(1) · = 4
b) divide the coefficients and subtract the exponents
(14 ÷ 7) · = 2