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a) \(\left(x-7\right)\left(x+2\right)\)
b) \(\left(2x-3\right)\left(x+2\right)\)
a) 3x2 + 10x + 8
= 3x2 + 6x + 4x + 8
= 3x.(x + 2) + 4.(x + 2)
= (x + 2).(3x + 4)
b) 2x2 + x - 6
= 2x2 + 4x - 3x - 6
= 2x.(x + 2) - 3.(x + 2)
= (x + 2).(2x - 3)
a) \(\left(3x+4\right)\left(x+2\right)\)
b) \(\left(2x-3\right)\left(x+2\right)\)
a) \(2x-2y-x^2+2xy-y^2\)
\(=2\left(x-y\right)-\left(x^2-2xy+y^2\right)\)
\(=2\left(x-y\right)-\left(x-y\right)^2\)
\(=\left(x-y\right)\left(2-x+y\right)\)
b) \(9x^2+6xy+y^2-25\)
\(=\left(3x\right)^2+6xy+y^2-25\)
\(=\left(3x+y\right)^2-5^2\)
\(=\left(3x+y+5\right)\left(3x+y-5\right)\)
a) = 2(x-y)2 - 32 = 2((x-y)2 - 42) = 2(x-y+4)(x-y-4)
b) = 5(x+y)(x-y) -(x-y)= (x-y)( 5(x+y)-1)
\(x^2-xy+x-y\)
\(=x\left(x-y\right)+\left(x-y\right)\)
\(=\left(x-1\right)\left(x-y\right)\)
a, \(x^2-xy+x-y=x\left(x-y\right)+\left(x-y\right)=\left(x-y\right)\left(x+1\right).\)
\(b,3x^2-3xy-5x+5y=3x\left(x-y\right)-5\left(x-y\right)=\left(x-y\right)\left(3x-5\right)\)
a) \(x^2+6x+8\)
\(=\left(x^2-2x\right)-4x+8\)
\(=x\left(x-2\right)-4\left(x-2\right)\)
\(\left(x-2\right)\left(x-4\right)\)
b) \(x^2-7xy+10y^2\)
\(=x^2-2xy-5xy+10y^2\)
\(=x\left(x-2y\right)-5y\left(x-2y\right)\)
\(=\left(x-2y\right)\left(x-5y\right)\)
a) x2 - 6x + 8
= x2 -2x - 4x +8
= x( x-2) -4( x-2)
= ( x-2)(x-4)
a. x2 + 7xy + 10y2
= x2 + 2xy + 5xy + 10y2
= x.(x + 2y) + 5y.(x + 2y)
= (x + 2y).(x + 5y)
b. x2 - 6xy + 5y2
= x2 - xy - 5xy + 5y2
= x.(x - y) - 5y.(x - y)
= (x - y).(x - 5y)