Phân tích đa thức sau thành nhân tử:
a/ 72 - 2x2 - 2y2 + 4xy
b/ x2 + 7x + 6
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Nếu thêm mỗi quyển văn 18 trang
Thì hai loại sách có số trang là :
150 x 22 = 3300 ( trang )
Có số sách văn là :
( 3300 - 3120 ) : 18 = 10 ( quyển )
Có số sách toán là :
22 - 10 = 12 ( quyển )
Đáp số : 10 quyển và 12 quyển
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Answer:
\(72-2x^2-2y^2+4xy\)
\(=2.36-2x^2-2y^2+2.2xy\)
\(=2.(36-x^2-y^2+2xy)\)
\(=2.[36-(x^2-2xy+y^2)] \)
\(=2.[6^2-(x-y)^2]\)
\(=2[6-(x-y)][6+(x-y)] \)
\(=2.(6-x+y)(6+x-y)\)
\(x^2+7x+6\)
\(=x^2+x+6x+6\)
\(=(x^2+x)+(6x+6)\)
\(=x(x+1)+6(x+1)\)
\(=(x+1)(x+6)\)