x^(2)y^(2) + 2x^(3) y
To factor
'x^(2) is common to both terms.
Hence
x^(2) [ y^(2) + 2xy]
'y' is common to both terms
Hence
x^(2)y[ y + 2x ] Fully factored.
x3+xy-x2y2=x(x2+y-xy2)
The expression cannot be simplified.
(xy - 7)(x^2y^2 + 7xy + 49)
The LCM of 2x5y and 4x3y2 is 4x5x3y2 = 60xy2.
(a + 2b)(a + 2b)
x3+xy-x2y2=x(x2+y-xy2)
The GCF is x2y2.
(1 - x4y4) = (1 + x2y2)*(1 - x2y2) = (1 + x2y2)*(1 + xy)*(1 - xy)
I assume you mean x2y2+ay2+ab+bx2. (x2+a)(y2+b) is the simplified form. With the info you gave me there isn't much else to do.
2x^(3)y + 18xy - 10x^(2)y -90y Rearrange in ascending powers of 'x' . Hence 2x^(3)y - 10x^(2)y + 18xy -90y '2' & 'y' are common factor to all four terms. Hence 2y[ x^(3) - 5x^(2) + 9x - 45] Inside the 'square' brackets we factor the first two terms and the last two terms. Hence 2y[(x^(2){x - 5} + 9{x - 5}] To the two internal terms 'x - 5' is common. Hence 2y[x^(2) + 9)(x - 5)] Fully factored. NB 'x^(2) + 9 ' = x^(2) + 3^(2) does NOT factor . Remember two squared terms with a positive(+) between them does NOT factor. However, two squared terms with a negative(-) between them does factor.
The greatest common factor is the lowest of the powers in this case.
Put the equation in this form: y=mx+b. Then m will be the slope. 2x3y+6=0 2x3y=-6 3y=-6/2x y=-2/2x y=-1/x This equation does not describe a straight line, but rather, it describes a curve.
The expression cannot be simplified.
The LCM of 2x5y and 4x3y2 is 4x5x3y2 = 60xy2.
(xy - 7)(x^2y^2 + 7xy + 49)
The smallest prime factor of 65 is 5. 5 X 13.
The GCF is x^2y^2.