Answer:
<h2>(2x - 3y)(4x - y) = 8x² - 14xy + 3y²</h2>
Step-by-step explanation:
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
(2x - 3y)(4x - y) = (2x)(4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
= 8x² - 2xy - 12xy + 3y²
<em>combine like terms</em>
= 8x² + (-2xy - 12xy) + 3y² = 8x² - 14xy + 3y²
Answer:
Step-by-step explanation:
The inequality y - x < -3 should be solved for y, as follows:
Add x to both sides, obtaining:
y < x - 3
Note that this y < x - 3 has the form y = mx + b, which represents a straight line. In this case the straight line would be y = x - 3, meaning that the slope of this line is 1 and the y-intercept is -3.
Because y < x - 3 involves the inequality symbol <, draw a dashed line, not a solid line. The solution set consists of all points on the graph BELOW this dashed line y < x - 3.
Answer:
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Step-by-step explanation:
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Answer:
Kara incorrectly factored 2(16x^2 + 24x + 9) she did not find the correct factors when she factored out. The correct factored expression would be 2(4x+3)^2
Step-by-step explanation:
32x^2 + 48x + 18
2(16x^2 + 24x + 9)
2(16x^2 + 12x) (12x + 9)
2 4x(4x + 3) 3(4x + 3)
2(4x + 3)(4x + 3)
2(4x + 3)^2