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DHAcity
@DHAcity
July 2022
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m11m
Verified answer
A² - b²=(a-b)(a+b)
a) (4x+3)² - (4x-5)²=(4x+3-4x+5)(4x+3+4x-5)=8(8x-2)=8*2(4x-1)=
=16(4x-1)
б) (7c-7)² - (3c-7)²=(7c-7-3c+7)(7c-7+3c-7)=4c(10c-14)=4c*2(5c-7)=
=8c(5c-7)
в) (6+10e)² - (-4+7e)² =(6+10e)² - (7e-4)²=(6+10e-7e+4)(6+10e+7e-4)=
=(3e+10)(17e+2)
г) (8g-2)² - (10g-5)²=(8g-2-10g+5)(8g-2+10g-5)=(3-2g)(18g-7)
д) (9c-3)² - (8c+7)² =(9c-3-8c-7)(9c-3+8c+7)=(c-10)(17c+4)
e) (9m-6)² - (3+3m)² =(9m-6-3-3m)(9m-6+3+3m)=(6m-9)(12m-3)=
=3(2m-3)*3(4m-1)=9(2m-3)(4m-1)
ж) (6+9u)² - (6+2u)² =(6+9u-6-2u)(6+9u+6+2u)=7u(11u+12)
з) (9+5b)² - (4b-4)²=(9+5b-4b+4)(9+5b+4b-4)=(b+13)(9b+5)
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Answers & Comments
Verified answer
A² - b²=(a-b)(a+b)a) (4x+3)² - (4x-5)²=(4x+3-4x+5)(4x+3+4x-5)=8(8x-2)=8*2(4x-1)=
=16(4x-1)
б) (7c-7)² - (3c-7)²=(7c-7-3c+7)(7c-7+3c-7)=4c(10c-14)=4c*2(5c-7)=
=8c(5c-7)
в) (6+10e)² - (-4+7e)² =(6+10e)² - (7e-4)²=(6+10e-7e+4)(6+10e+7e-4)=
=(3e+10)(17e+2)
г) (8g-2)² - (10g-5)²=(8g-2-10g+5)(8g-2+10g-5)=(3-2g)(18g-7)
д) (9c-3)² - (8c+7)² =(9c-3-8c-7)(9c-3+8c+7)=(c-10)(17c+4)
e) (9m-6)² - (3+3m)² =(9m-6-3-3m)(9m-6+3+3m)=(6m-9)(12m-3)=
=3(2m-3)*3(4m-1)=9(2m-3)(4m-1)
ж) (6+9u)² - (6+2u)² =(6+9u-6-2u)(6+9u+6+2u)=7u(11u+12)
з) (9+5b)² - (4b-4)²=(9+5b-4b+4)(9+5b+4b-4)=(b+13)(9b+5)