Answer:
(x² - 7)(x² - 4)
Step-by-step explanation:
We can actually factor this the same way we would solve a normal quadratic equation. We will end up with the factored terms have squares of x instead of just x.
x⁴ - 11x² + 28
= x⁴ - 4x² - 7x² + 28
= x²(x² - 4) - 7(x² - 4)
= (x² - 7)(x² - 4)
The simplification form of the expression (1.93 × 10⁷) − (9.7 × 10⁶) is
9.6×10⁶ and the correct order is shown in the picture.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have:






= 9.6×10⁶
Thus, the simplification form of the expression (1.93 × 10⁷) − (9.7 × 10⁶) is
9.6×10⁶ and the correct order is shown in the picture.
Learn more about the integer exponent here:
brainly.com/question/4533599
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Answer:
Step-by-step explanation:
Width =x
Length = 2*x = 2x
Diagonal = 5√5
Use Pythagorean theorem
Length² + Width² = diagonal²
(2x)² + x² = (5√5)²
{
}
4x² + x² = 75
5x² = 75
x² = 75/5
x² = 15
x = √15
Width = √15
Length = 2√15
Area of rectangle = length *width
= √15 *2√15

= 30 square units
<span>2(3x + 7) = -22
Use distributive property
6x+14=-22
Subtract 14 from both sides
6x=-36
Divide 6 on both sides
Final Answer: x=-6</span>