(a) \[{{x}^{2}}+\text{ }xy+8x+8y~\] |
(b) \[15xy-6x+5y-2\] |
(c) \[ax+bx-ayby\] |
Answer:
(a) \[{{x}^{2}}+xy+8x|+8y=x\times x+x\times y+\text{ }8\times x+8\times y\] \[=x(x+y)+8\text{ }(x+y)\] \[=(x+y)\text{ }(x+\text{ }8)\] (b) \[15xy\text{ }6x+\text{ }5y2=3\times 5\times x\times y2\times 3\] \[\times x+5\times 1\times y2\times 1\] \[=3\times x(5\times y2)+1\text{ }(5\times y2)\] \[=3x(5y2)+1\text{ }(5y2)\] \[=(5y2)\text{ }(3x+1)\] (c) \[ax+bxayby=a\times x+b\times xa\times yb\times y\] \[=x(a+b)\text{ }y(a+b)\] \[=\text{ }(a+b)\text{ }(xy)\]
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