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evarlashkina
@evarlashkina
March 2022
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Упростите выражение
А) (х+2)^2+(2х-1)^2
Б) (10-7у)(7у+10)
В) (2+а)(4-2а+а^2)
Г) (а+3)^3
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zhenyaM2002
Verified answer
(х+2)² + (2х -1)²= х² + 2*х*2 + 2² + (2х)² - 2*2х*1 +1² =
= х² +4х +4 + 4х² -4х +1 = (х² + 4х²) + (4х - 4х) + (4+1) =
= 5х² + 5
(10 - 7у)(7у + 10) = (10 - 7у)(10 +7у) = 10² - (7у)² = 100 - 49у²
(2+а)(4 - 2а + а²) =(2+а)(2² - 2*а + а² ) = (2)³ + а³ = а³ + 8
(а + 3)³ = а³ + 3*а²*3 + 3*а*3² + 3³ = а³ + 9а² + 27а + 27
1 votes
Thanks 2
evarlashkina
спасибо большое
zhenyaM2002
Всегда пожалуйста)
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Answers & Comments
Verified answer
(х+2)² + (2х -1)²= х² + 2*х*2 + 2² + (2х)² - 2*2х*1 +1² == х² +4х +4 + 4х² -4х +1 = (х² + 4х²) + (4х - 4х) + (4+1) =
= 5х² + 5
(10 - 7у)(7у + 10) = (10 - 7у)(10 +7у) = 10² - (7у)² = 100 - 49у²
(2+а)(4 - 2а + а²) =(2+а)(2² - 2*а + а² ) = (2)³ + а³ = а³ + 8
(а + 3)³ = а³ + 3*а²*3 + 3*а*3² + 3³ = а³ + 9а² + 27а + 27