The <em>expanded</em> expressions are shown below:
- (x + 1)² = x² + 2 · x + 1
- (x - 3)² = x² - 6 · x + 9
- (x + 4)² = x² + 8 · x + 16
- (x - 1/2)² = x² - x + 1/4
- 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75
- (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2
<h3>How to expand perfect square trinomials</h3>
<em>Perfect square</em> trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:
a) (x + 1)² = x² + 2 · x + 1
b) (x - 3)² = x² - 6 · x + 9
c) (x + 4)² = x² + 8 · x + 16
d) (x - 1/2)² = x² - x + 1/4
e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75
f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2
To learn more on perfect square trinomials: brainly.com/question/385286
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Answer:
i hope its correct
Step-by-step explanation:
11x + 2y=68 ------------1
5x+y=13 ------------2
y= 13-5x. ------------3
put 3 into 1
11x +2(13-5x) =68
11x +26 -10x =68
x=42
put x =42 into 2
5(42) +y =13
210+y=13
y=13-210
y=197
315 / 10 = 31.5
4 and down stay the same,
5 and up round up
31.5 = 32
Answer:
y=-2
Step-by-step explanation:
because it's parallel --> a=-2
therefore we have y=-2x+b
the line goes through the point (3,-6) --> (-2).3+b=-6 --> b=0
It's -16 just use the app socratic