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balunovanastya
@balunovanastya
July 2022
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Разложите на множители выражение:
А) 3а^3-48ab^2 ; b)x+2y-x^2-4xy-4y^2 ; c) (5-x)(5+x)-a(a-2x)
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Verified answer
A)3а^3-48ab^2=3a(a^2-16b^2)=3a(a-4b)(a+4b)
b)x+2y-x^2-4xy-4y^2=(x+2y)-(x+2y)^2=(x+2y)(1-x-2y)
c) (5-x)(5+x)-a(a-2x)=25-x^2-a^2+2ax=25-(a+x)^2=(5-a-x)(5+a+x)
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Verified answer
A)3а^3-48ab^2=3a(a^2-16b^2)=3a(a-4b)(a+4b)b)x+2y-x^2-4xy-4y^2=(x+2y)-(x+2y)^2=(x+2y)(1-x-2y)
c) (5-x)(5+x)-a(a-2x)=25-x^2-a^2+2ax=25-(a+x)^2=(5-a-x)(5+a+x)