4 nhân 2x - 3 = 125
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a: =(6x)^2-(3x-2)^2
=(6x-3x+2)(6x+3x-2)
=(9x-2)(3x+2)
d: \(=\left[\left(x+1\right)^2-\left(x-1\right)^2\right]\left[\left(x+1\right)^2+\left(x-1\right)^2\right]\)
\(=4x\cdot\left[x^2+2x+1+x^2-2x+1\right]\)
=8x(x^2+1)
e: =(4x)^2-2*4x*3y+(3y)^2
=(4x-3y)^2
f: \(=-\left(\dfrac{1}{4}x^4-2\cdot\dfrac{1}{2}x^2\cdot2y^3+4y^6\right)\)
\(=-\left(\dfrac{1}{2}x^2-2y^3\right)^2\)
g: =(4x)^3+1^3
=(4x+1)(16x^2-4x+1)
k: =x^3(27x^3-8)
=x^3(3x-2)(9x^2+6x+4)
l: =(x^3-y^3)(x^3+y^3)
=(x-y)(x+y)(x^2-xy+y^2)(x^2+xy+y^2)
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\(4\cdot2^x-3=125\)
\(\Rightarrow4\cdot2^x=125+3\)
\(\Rightarrow4\cdot2^x=128\)
\(\Rightarrow2^x=128:4\)
\(\Rightarrow2^x=32\)
\(\Rightarrow x=5\)
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(75% + 0,65 + 1/4 + 35% ) x ( 5/4 + 125 x 3 + 12 x 0,625 )
=( \(\frac{3}{4}+0,65+\frac{1}{4}+3,5\) ) x ( \(\frac{5}{4}+125\)x 3 + 7,5 )
= ( 1 + 4,15 ) x ( \(\frac{5}{4}\) + 375 + 7,5 )
= 5,15 x 383,75
= 1976,3125
\(\Leftrightarrow4.2^x=128\)
\(\Leftrightarrow2^x=128:4\)
\(\Leftrightarrow2^x=32\)
\(\Rightarrow x=5\)