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drygina2200
@drygina2200
July 2022
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разложите на множетели
1)а^3-8b^3
2)x^2-36y^3
3)-5m^2+10mn-5n^2
4)4ab-28b+8a-56
5)a^4-81
упростить выражения a(a+2)(a-2)-(a-3)(a^2+3a+9)
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гюйс
Verified answer
1) a^3 -8b^3=(a-2b)(a² +2ab+4b²)
2) x² -36y²=(x+6y)(x-6y)
3) -5m²+10mn-5n²=5m²-10mn+5n²=5(m²-2mn+n²)=5(m-n)(m-n)=5(m-n)²
4) 4ab -28b+8a -56=4(ab -7b+2a -14)=4(a(b+2)-7(b+2)=4(a-7)(b+2)
5) a^4 -81=(a²-9)(a²+9)=(a-3)(a+3)(a²+9)
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Answers & Comments
Verified answer
1) a^3 -8b^3=(a-2b)(a² +2ab+4b²)2) x² -36y²=(x+6y)(x-6y)
3) -5m²+10mn-5n²=5m²-10mn+5n²=5(m²-2mn+n²)=5(m-n)(m-n)=5(m-n)²
4) 4ab -28b+8a -56=4(ab -7b+2a -14)=4(a(b+2)-7(b+2)=4(a-7)(b+2)
5) a^4 -81=(a²-9)(a²+9)=(a-3)(a+3)(a²+9)