Answer:
-a² + 2ab + b² is your answer, or C).
Step-by-step explanation:
b(a + b) -a (a - b)
Distribute b to (a + b), and -a to (a - b)
b(a + b) = ab + b²
-a(a - b) = -a² + ab
Simplify. Combine like terms.
(-a² + ab) + (ab + b²) = -a² + 2ab + b²
-a² + 2ab + b² is your answer, or C).
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Answer:
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<u>Trigonometric identities</u>
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Therefore, using the <u>identities</u>, the given expression can be <em>simplified</em> as follows:

Answer:
−7r^(2)+12r+10x−18
Step-by-step explanation:
Grab the original equation: 10x+7r−r^(2)−6r^(2)−18+5r
For subtraction bits, treat them as negatives: 10x+7r+−r^(2)+−6r^(2)+−18+5r
Combine like terms: (−r^2+−6r^2)+(7r+5r)+(10x)+(−18)
Simplify that, and you get your final answer: −7r^(2)+12r+10x+−18
Answer: ∠R = 137°
<u>Step-by-step explanation:</u>
The opposite angles of a quadrilateral are supplementary (equal to 180°).
Since ∠P and ∠R are opposite angles, their sum is 180°
∠P + ∠R = 180°
y + 3y + 8 = 180
4y + 8 = 180
4y = 172
y = 43
∠R = 3y + 8
= 3(43) + 8
= 129 + 8
= 137