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Sửa đề:
Cách 1:
\(\left(5x-1\right)^2+2.\left(1-5x\right).\left(4+5x\right)+\left(5x+4\right)^2\)
\(=\left(1-5x\right)^2+2.\left(1-5x\right).\left(5x+4\right)+\left(5x+4\right)^2\)
\(=\left(1-5x+5x+4\right)^2\)
\(=5^2\)
\(=25\)
Cách 2:
\(\left(5x-1\right)^2+2.\left(1-5x\right).\left(4+5x\right)+\left(5x+4\right)^2\)
\(=\left(5x-1\right)^2-2.\left(5x-1\right).\left(5x+4\right)+\left(5x+4\right)^2\)
\(=\left(5x-1-5x-4\right)^2\)
\(=\left(-5\right)^2\)
\(=25\)
DỀ sai ròi kìa
P = ( 5x- 1) ^2 + 2 ( 1 - 5x) .(4+5x) + (5x+4)^2
= (5x- 1 )^2 - 2 ( 5x- 1).(5x+4) + (5x+4)^2
= (5x - 1 - 5x - 4) ^2 = ( - 5)^2 = 25
(**** )
P = (5x - 1) + [(-2).(-1).(1-5x).(4+5x)] + (5x+4)^2
= (5x - 1).[(-1)-2.(-1).(4+5x)] + (25x^2+40x+16)
= [(5x - 1).(10x + 7)] + (25x^2+40x+16)
= 50x^2 +35x - 10x - 7 + 25x^2+40x+16
= 75x^2 + 65x -9
câu c
\(C=\left(2x-1\right)^3+\left(2x-1\right)\left(4x^2+2x+1\right)\)
\(C=\left(2x-1\right)\left[\left(2x-1\right)^2+\left(4x^2+2x+1\right)\right]\)
\(C=\left(2x-1\right)\left[\left(4x^2-4x+1\right)+\left(4x^2+2x+1\right)\right]\)
\(C=2\left(2x-1\right)\left[4x^2-x+1\right]\)
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\(P=\left(5x-1\right)+2\left(1-5x\right)\left(4+5x\right)+\left(5x+4\right)^2\)
\(P=5x-1+\left(2-10x\right)\left(4+5x\right)+\left(5x+4\right)^2\)
\(P=5x-1+8+10x-40x-50x^2+25x^2+40x+16\)
\(P=\left(25x^2-50x^2\right)+\left(5x+10x-40x+40x\right)+\left(-1+8+16\right)\)
\(P=-25x^2+15x+23\)
P=(5x−1)+2(1−5x)(4+5x)+(5x+4)2
�=5�−1+(2−10�)(4+5�)+(5�+4)2P=5x−1+(2−10x)(4+5x)+(5x+4)2
�=5�−1+8+10�−40�−50�2+25�2+40�+16P=5x−1+8+10x−40x−50x2+25x2+40x+16
�=(25�2−50�2)+(5�+10�−40�+40�)+(−1+8+16)P=(25x2−50x2)+(5x+10x−40x+40x)+(−1+8+16)
�=−25�2+15�+23P=−25x2+15x+23