Question

 

Tính nhanh.

\(3^4.5^4-\left(15^2+1\right).\left(15^2-1\right)\)

Answer 1

Các câu trả lời trên đều rất tắt nên mình sửa lại nhé :  

 \(3^4.5^4-\left(15^2+1\right).\left(15^2-1\right)\)

\(=3^4.5^4-\left(15^2+1\right).15^2-\left(15^2+1\right).1\)

\(=3^4.5^4-15^2.15^2+1.15^2-15^2.1+1.1\)

\(=3^4.5^4-15^{2+2}+15^2-15^2+1\)

\(=\left(3.5\right)^4-15^4+15^2-15^2+1\)

\(=15^4-15^4+15^2-15^2+1\)

\(=\left(15^4-15^4\right)+\left(15^2-15^2\right)+1\)

\(=0+0+1\)

\(=1\)

Answer 2

\(3^4.5^4-\left(15^2+1\right)\left(15^2-1\right)\)

\(=\left(3.5\right)^4-\left(15^4-1\right)\)

\(=15^4-15^4+1\)

\(=1\)

Answer 3

\(3^4.5^4-\left(15^2+1\right).\left(15^2-1\right)\)

\(=\left(3.5\right)^4-\left[\left(15^2\right)^2-1^2\right]\)

\(=15^4-15^4+1^2\)

\(=0+1\)

\(=1\)

Answer 4

\(3^4.4^4-\left(15^2+1\right)\left(15^2-1\right)\)

\(=\left(3.4\right)^4-\left[\left(15^2\right)^2-1\right]\)

\(=7^4-15^4+1\)

\(=\left(7^2-15^2\right)\left(7^2+15^2\right)+1\)

\(=\left(7-15\right)\left(7+15\right)\left(7^2+15^2\right)+1\)

\(=-8\times22\times274+1\)

\(=-48224+1\)

\(=-48223\)

Answer 5

ghi nhầm đề xin lỗi

Answer 6

\(3^4.5^4-\left(15^2+1\right).\left(15^2-1\right)=\left(3.5\right)^4-15^4-1=15^4-15^4-1=-1\)

Answer 7

thằng Việt làm sai cững có đứa ak hay ghê

sửa sai cho Việt :

\(3^4.5^4-\left(15^2+1\right)\left(15^2-1\right)\)

\(=\left(3.5\right)^4-\left[-\left(15^2\right)^2-1\right]\)

\(=15^4-15^4+1=1\)