Ответы на вопрос:
X³ +8y³ -2x²y -4xy² = (x³-2x²²-8y³) = x²(x-2y)-4y²(x-2y)= =(x-2y)(x²-4y²)=(x-2y)(x-2y)(x+2y)=(x-2y)²(x+2y)
1. (a−b)^2 (a+b)= (a^2−2ab+b^2) (a+b)= a^3+ a^2b−2 a^2b−2a b^2+ b^2a+ b^3= a^3− a^2b−a b^2+ b^3; 2. (a+2b)^2 (a−2b)= (a^2+4ab+4b^2) (a−2b)= a^3-2 a^2b+4 a^2b−8a b^2+4 b^2a−8 b^3= a^3+2 a^2b−4a b^2−8 b^3; 3.7c (4c+2)− (7+c)^2=28 c^2+14c−49−14c− c^2=27 c^2− 49; 4. (b+4)^2−2b (5b+4)= b^2+8b+16−10 b^2−8b=−9 b^2+ 16; 5. (b−2)^2−2b (6b−2)= b^2−4b+4−12 b^2+4b= −11b^2+4; 6.−3c (6c+2)− (−3+c)^2=−18 c^2−6c−9+6c− c^2=−19 c^2−9; 7.(−8x+5y)^2−16x(−8x−5y)=64x^2−80xy+25y^2+128x^2+80xy= 192x^2+25y^2; 8.y(7y+4x)−(2x+y)^2=7y^2+4xy−4x^2−4xy−y^2=6y^2−4x^2.
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