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Q. Factorise the following :
i. 2x2-7x-15 ii. 84-2r-2r2iii. 2x2-56x+112 iv. 3a3b-243ab3v. x4-625 vi. a7-ab6vii. x12-y12

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Solution

Dear student
i2x2-7x-15=2x2-10x+3x-15=2xx-5+3x-5=2x+3x-5viiix12-y12=x62-y62=x6+y6x6-y6=x6+y6x32-y32=x6+y6x3-y3x3+y3=x6+y6x-yx2+y2+xyx+yx2+y2-xy=x+yx-yx6+y6x2+y2+xyx2+y2-xyNote:a2-b2=a+ba-ba3+b3=a+ba2+b2-aba3-b3=a-ba2+b2+ab
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