乘法公式计算题
求一些关于乘法公式的计算题,难易程度最好中等,难一点简单一点都没事,最好有答案,网上找也没事,最好有50道,少一点也没事,以少聚多嘛。...
求一些关于乘法公式的计算题,难易程度最好中等,难一点简单一点都没事,最好有答案,网上找也没事,最好有50道,少一点也没事,以少聚多嘛。
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2013-10-16
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①(2a+b)(2a-3b)
=4a^2-6ab+2ab-3b^2
=4a^2-4ab-3b^2
②(3a-b)(-3a-b)
=-9a^2-3ab+3ab+b^2
=b^2-9a^2
③(x+1)(x-1)-(x+1)(x+3)
=x^2-1-x^2-3x-x-3
=-4x-4
=-4(x+1)
④(x+y+x-x-y)
=x
⑤(x-3)的平方-(x+1)(x-7)
=(x^2-6x+9)-(x^2-7x+x-7)
=x^2-6x+9-x^2+7x+7
=x+16 (2+1)*(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2-1)(2+1)*(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2^2-1)(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2^4-1)(2^4+1)*(2^8+1)-2^16
=(2^8-1)(2^8+1)-2^16
=2^16-1-2^16
=-1
(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
(10+1)(10^2+1)(10^4+1)(10^8+1).......(10^32+1)
=1/9*(10-1)(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
=1/9*(10^2-1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
==1/9*(10^4-1)(10^4+1)(10^8+1)...(10^32+1)
=...
=(10^64-1)/9 2^2+4^2+6^2+...+100^2)-(1^2+3^2+5^2+...+99^2)
=(2^2-1^2)+(4^2-3^2)+(6^2-5^2)+...+(100^2-99^2)
=(2+1)*(2-1)+(4+3)*(4-3)+(6+5)*(6-5)+...+(100+99)*(100-99)
=2+1+4+3+6+5+...+100+99
=1+2+3+4+5+6+...+99+100
=5050
=4a^2-6ab+2ab-3b^2
=4a^2-4ab-3b^2
②(3a-b)(-3a-b)
=-9a^2-3ab+3ab+b^2
=b^2-9a^2
③(x+1)(x-1)-(x+1)(x+3)
=x^2-1-x^2-3x-x-3
=-4x-4
=-4(x+1)
④(x+y+x-x-y)
=x
⑤(x-3)的平方-(x+1)(x-7)
=(x^2-6x+9)-(x^2-7x+x-7)
=x^2-6x+9-x^2+7x+7
=x+16 (2+1)*(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2-1)(2+1)*(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2^2-1)(2^2+1)*(2^4+1)*(2^8+1)-2^16
=(2^4-1)(2^4+1)*(2^8+1)-2^16
=(2^8-1)(2^8+1)-2^16
=2^16-1-2^16
=-1
(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
(10+1)(10^2+1)(10^4+1)(10^8+1).......(10^32+1)
=1/9*(10-1)(10+1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
=1/9*(10^2-1)(10^2+1)(10^4+1)(10^8+1)...(10^32+1)
==1/9*(10^4-1)(10^4+1)(10^8+1)...(10^32+1)
=...
=(10^64-1)/9 2^2+4^2+6^2+...+100^2)-(1^2+3^2+5^2+...+99^2)
=(2^2-1^2)+(4^2-3^2)+(6^2-5^2)+...+(100^2-99^2)
=(2+1)*(2-1)+(4+3)*(4-3)+(6+5)*(6-5)+...+(100+99)*(100-99)
=2+1+4+3+6+5+...+100+99
=1+2+3+4+5+6+...+99+100
=5050
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