(1)9x^2+16xy+4y^2
=16x^2+16xy+4y^2-7x^2
=(4x+2y)^2-7x^2
=(4x+2y-√7x)(4x+2y+√7x)
(2)采用拆项法:
9x^2+16xy+4y^2
=16x²-7x²+16xy+4y²
=(16x²+16xy+4y²)-7x²
=4(4x²+4xy+y²)-7x²
=[2(2x+y)]²-(√7x)²【平方差公式】
=(4x+2y+√7x)(4x+2y-√7x)
两种方法!
(1)9x^2+16xy+4y^2
=16x^2+16xy+4y^2-7x^2
=(4x+2y)^2-7x^2
=(4x+2y-√7x)(4x+2y+√7x)
(2)采用拆项法:
9x^2+16xy+4y^2
=16x²-7x²+16xy+4y²
=(16x²+16xy+4y²)-7x²
=4(4x²+4xy+y²)-7x²
=[2(2x+y)]²-(√7x)²【平方差公式】
=(4x+2y+√7x)(4x+2y-√7x)
两种方法!