Checkbox Question
Which of the following is/are correct in factorization?
-
✓
x^2-6x-16=(x-8)(x+2)
-
×
x^2y^2-10xy+16=(xy+2)(xy+8)
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✓
x^2-5xy+6y^2=(x-2)(x-3)
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×
x^2+13xy-30y^2=(x-10y)(x-3y)
Answer
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x^2-6x-16
=x^2-8x+2x-16
=x(x-8)+2(x-8)
=(x-8)(x+2)
Correct
-
x^2y^2-10xy+16
=x^2y^2-8xy-2xy+16
=xy(xy-8)-2(xy-8)
=(xy-2)(xy-8)
Therefore
(xy+2)(xy+8) is not correct
-
x^2-5xy+6y^2
=x^2-3xy-2xy+6y^2
=x(x-3y)-2y(x-3y)
=(x-2)(x-3)
Correct
-
x^2+13xy-30y^2
=x^2-2xy+15xy-30y^2
=x(x-2y)+15y(x-2y)
=(x+15y)(x-2y)
Therefore
(x-10y)(x-3y) is not correct