Question

Simplify.

5/4+4(3/4−1/2)^2



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Answer 1

`(5)/(4)+4\left((3)/(4)-(1)/(2)\right)^2=(5)/(4)+4\cdot\left((3)/(4)-(1\cdot2)/(2\cdot2)\right)^2\\\\=(5)/(4)+4\cdot\left((3)/(4)-(2)/(4)\right)^2=(5)/(4)+4\cdot\left((1)/(4)\right)^2\\\\=(5)/(4)+4\cdot(1)/(16)=(5)/(4)+(1)/(4)=(6)/(4)=(3)/(2)=1(1)/(2)`