计算:1.(-6y+x)(-6y-x) 2.(-6y+x)(6y-x) 3.(x+4y)(x-9y) 4.(-6y-x)
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计算:1.(-6y+x)(-6y-x) 2.(-6y+x)(6y-x) 3.(x+4y)(x-9y) 4.(-6y-x)(6y-x)
1.(-6y+x)(-6y-x)
=[-(6y-x)][-(6y+x)]
=(6y-x)(6y+x)
=(6y)²-x²
=36y²-x²
2.(-6y+x)(6y-x)
=[-(6y-x)](6y-x)
=-(6y-x)(6y-x)
=-[(6y-x)²]
=-(36y²-12xy-x²)
=x²+12xy-36y²
3.(x+4y)(x-9y)
=(x+4y)(x-4y-5y)
=(x+4y)[(x-4y)-5y]
=(x+4y)²-5y(x+4y)
=(x²+8xy+16y²)-(5xy+20y²)
=x²+3xy-4y²
4.(-6y-x)(6y-x)
=[-(6y+x)](6y-x)
=-(6y+x)(6y-x)
=-(36²-x²)
=x²-36y²
=[-(6y-x)][-(6y+x)]
=(6y-x)(6y+x)
=(6y)²-x²
=36y²-x²
2.(-6y+x)(6y-x)
=[-(6y-x)](6y-x)
=-(6y-x)(6y-x)
=-[(6y-x)²]
=-(36y²-12xy-x²)
=x²+12xy-36y²
3.(x+4y)(x-9y)
=(x+4y)(x-4y-5y)
=(x+4y)[(x-4y)-5y]
=(x+4y)²-5y(x+4y)
=(x²+8xy+16y²)-(5xy+20y²)
=x²+3xy-4y²
4.(-6y-x)(6y-x)
=[-(6y+x)](6y-x)
=-(6y+x)(6y-x)
=-(36²-x²)
=x²-36y²
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