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\(x^2-9x+20=x^2-5x-4x+20=x\left(x-5\right)-4\left(x-5\right)=\left(x-4\right)\left(x-5\right)\)
\(x^2+7x+12=x^2+3x+4x+12=x\left(x+3\right)+4\left(x+3\right)=\left(x+4\right)\left(x+3\right)\)
b, x2 - 9x + 20
= x2 - 5x - 4x + 20
= ( x2 - 5x ) - ( 4x + 20 )
= x( x - 5 ) - 4( x - 5 )
= ( x - 4 ). ( x - 5 )
c, x2 + 7x + 12
= x2 + 3x + 4x + 12
= ( x2 + 3x ) + ( 4x + 12 )
= x( x + 3 ) + 4( x + 3 )
= ( x + 4 ). ( x + 3 )
a) A = (x2 - 2.x.3 + 32) - (3y)2
A = (x - 3)2 - (3y)2
A = (x - 3 - 3y)(x-3+3y)
b) B = (x-1)3 + 2(x-1)(x+1)
B=(x-1)[(x-1)2 - 2(x+1)]
B = (x-1)[x2 - 4x - 3]
a) \(x^2-5x+6=x^2-2x-3x+6=\left(x-2\right)\left(x-3\right)\)
b)\(3x^2+9x-30=3x^2-6x+15x-30=3\left(x-2\right)\left(x+5\right)\)
c)\(x^2-7x+12=x^2-3x-4x+12=\left(x-3\right)\left(x-4\right)\)
d)\(x^2-7x+10=x^2-2x-5x+10=\left(x-2\right)\left(x-5\right)\)
a) \(x^2-5x+6=x^2-2x-3x+6=\left(x^2-2x\right)-\left(3x-6\right)\)
\(=x\left(x-2\right)-3\left(x-2\right)=\left(x-2\right)\left(x-3\right)\)
b) \(3x^2+9x-30=3\left(x^2+3x-10\right)=3\left(x^2-2x+5x-10\right)\)
\(=3\left[\left(x^2-2x\right)+\left(5x-10\right)\right]=3\left[x\left(x-2\right)+5\left(x-2\right)\right]\)
\(=3\left(x-2\right)\left(x+5\right)\)
c) \(x^2-7x+12=x^2-3x-4x+12=\left(x^2-3x\right)-\left(4x-12\right)\)
\(=x\left(x-3\right)-4\left(x-3\right)=\left(x-3\right)\left(x-4\right)\)
d) \(x^2-7x+10=x^2-2x-5x+10=\left(x^2-2x\right)-\left(5x-10\right)\)
\(=x\left(x-2\right)-5\left(x-2\right)=\left(x-2\right)\left(x-5\right)\)
\(a,4x^2-12xy+9y^2=\left(2x-3y\right)^2\)
\(b,x^2-9x+20=x^2-4x-5x+20\)
\(=x\left(x-4\right)-5\left(x-4\right)\)
\(=\left(x-4\right)\left(x-5\right)\)
\(c,x^2+7x+12=x^2+3x+4x+12\)
\(=x\left(x+3\right)+4\left(x+3\right)\)
\(=\left(x+3\right)\left(x+4\right)\)