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Answer:
a) (x² - 5)(x + 5) + 25
x³ + 5x² - 5x - 25 + 25
x³ + 5x² - 5x.
b) (a + b + c)(a + b - c)
a² + ab - ac + ab + b² - bc + ac + bc - c²
a² + b² - c² + 2ab.
c) (a² - b²)²
(a² - b²)(a² - b²)
a⁴ - a²b² - a²b² + b⁴
a⁴ - 2a²b² + b⁴.
Step-by-step explanation:
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Answered by
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Step-by-step explanation:
A) (x²-5)(x²+5)+25
(x² - (5½)²) (x+5)+25
(x+5) (x-5) (x+5)+25
(x+5)² (x-5+25)
x²+5²+2×1×5 (x-20)
x²+25+10(x-20)
x³-20x²+25x-500+10x-200
= x³-20x²+35x-700 ANS.
C) (a+b+c) (a+b+c)
a²+ab-ac+ab+b²-bc+ac+bc-c²
a²+2ab+b²-c²
(a+b)²-c ANS.
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