(A) To evaluate $(153)^{2}$,we can use the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$.We can write $153$ as $(150 + 3)$.So,$(153)^{2} = (1

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(A) To evaluate $(153)^{2}$,we can use the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$.We can write $153$ as $(150 + 3)$.So,$(153)^{2} = (150 + 3)^{2}$.Using the identity,we get:$(150)^{2} + 2(150)(3) + (3)^{2}$$= 22500 + 900 + 9$$= 23409$.Therefore,the correct value is $23409$.