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\(x^8+x+1\)
\(=x^8+x^7+x^6-x^7-x^6-x^5+x^5+x^4+x^3-x^4-x^3-x^2+x^2+x+1\)
\(=x^6\left(x^2+x+1\right)-x^5\left(x^2+x+1\right)+x^3\left(x^2+x+1\right)-x^2\left(x^2+x+1\right)+x^2+x+1\)
\(=\left(x^2+x+1\right)\left(x^6-x^5+x^3-x^2+1\right)\)
\(4x^2-9+\left(2x+3\right)^2=\left(2x-3\right)\left(2x+3\right)+\left(2x+3\right)^2\)
\(=\left(2x+3\right)\left[\left(2x-3\right)+\left(2x+3\right)\right]\)
\(=4x\left(2x+3\right)\)
\(4x^2-9+\left(2x+3\right)^2\)
\(=\left(2x-3\right)\left(2x+3\right)+\left(2x+3\right)^2\)
\(=\left(2x+3\right)\left(2x-3+2x+3\right)\)
\(=4x\left(2x+3\right)\)
=.= hok tốt!!
\(2x^3-2xy^2-8x^2+8xy\)
\(=2x\left(x^2-y^2-4x+4y\right)\)
\(=2x\left[\left(x^2-y^2\right)-4\left(x-y\right)\right]\)
\(=2x\left[\left(x-y\right)\left(x+y\right)-4\left(x-y\right)\right]\)
\(=2x\left(x-y\right)\left(x+y-4\right)\)
2x^3 - 2xy^2 - 8x^2 + 8xy
= 2x^2 ( x - y ) - 8x ( x - y )
= ( x - y ) ( 2x^2 - 8x )
= ( x - y ) 2x ( x - 4 )
\(x^2-9-4\left(x+3\right)\)
\(=\left(x-3\right)\left(x+3\right)-4\left(x+3\right)\)
\(=\left(x+3\right)\left(x-3-4\right)\)
\(=\left(x+3\right)\left(x-7\right)\)
x2 - 9 - 4(x + 3)
= (x2 - 9) - 4(x + 3)
= (x2 - 32) - 4(x + 3)
= (x - 3) (x + 3) - 4(x + 3)
= (x + 3) (x - 3 - 4)
= (x + 3) ( x - 7)
ko bít đúng ko !! 547467474856856856856835675743634634645765876976946426436
\(x^2-9-4\left(x+3\right)\)
\(=\left(x-3\right)\left(x+3\right)-4\left(x+3\right)\)
\(=\left(x+3\right)\left(x-3-4\right)\)
\(=\left(x+3\right)\left(x-7\right)\)
\(x^2-9-4\left(x+3\right)\)
\(=\left(x^2-9\right)-4\left(x+3\right)\)
\(=\left(x^2-3^2\right)-4\left(x+3\right)\)
\(=\left(x-3\right)\left(x+3\right)-4\left(x+3\right)\)
\(=\left(x+3\right)\left(x-3-4\right)\)
\(=\left(x+3\right)\left(x-7\right)\)
\(49\left(x-4\right)^2-9\left(x+2\right)^2\)
\(=\left(7x-28\right)^2-\left(3x+6\right)^2\)
\(=\left(7x-28-3x-6\right)\left(7x-28+3x+6\right)\)
\(=\left(4x-34\right)\left(10x-22\right)\)
\(=4\left(2x-17\right)\left(5x-11\right)\)
\(\left(x+3\right)^2-16\)
\(=\left(x+3-4\right)\left(x+3+4\right)\)
\(=\left(x-1\right)\left(x+7\right)\)