Solve this with your work shown. (50 POINTS.)
1 answer:
top problems:
1-) x²-2x-8
<h2>(x-4)(x+2)</h2>---------------------
2-) 4s²-4s+1
<h2>(2s-1)²</h2>---------------------
3-) 6x²-3-7x
<h2>(2x-3)(3x+1)</h2>---------------------
4-) 4u²+8u
<h2>4u(u+2)</h2>---------------------
5-) t²-15
<h2>2t</h2>---------------------
6-) 3x²-x-4
<h2>(3x-4)(x+1)</h2>bottom problems:
1-)
y=x²+
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2-)
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3-) 0, √5
<h2>y=x²-x√5</h2>---------------------
4-) 1,1
<h2>y= x²-2x+1</h2>---------------------
5-)
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6-) 4,1
<h2>y=x²-5x+4</h2>You might be interested in
Complete Question: Which of the following is an example of the difference of two squares?
A x² − 9
B x³ − 9
C (x + 9)²
D (x − 9)²
Answer:
A. .
Step-by-step explanation:
An easy way to spot an expression that is a difference of two squares is to note that the first term and the second term in the expression are both perfect squares. Both terms usually have the negative sign between them.
Thus, difference of two squares takes the following form: .
a² and b² are perfect squares. Expanding will give us
.
Therefore, an example of the difference of two squares, from the given options, is .
can be factorised as
.
Let the two numbers be x and y, then,
xy = -12 . . . (1)
x + y = -10 . . . (2)
From (2), x = -10 - y . . . (3)
Putting (3) into (1), gives
(-10 - y)y = -12
-10y - y^2 = -12
y^2 + 10y - 12 = 0
Therefore, the two numbers are
and 
xy = -12 . . . (1)
x + y = -10 . . . (2)
From (2), x = -10 - y . . . (3)
Putting (3) into (1), gives
(-10 - y)y = -12
-10y - y^2 = -12
y^2 + 10y - 12 = 0
Therefore, the two numbers are