(A) To find the product of $(x+4)(x+10)$,we use the algebraic identity:$(x+a)(x+b) = x^2 + (a+b)x + ab$Here,$a = 4$ and $b = 10$.Substituting these va

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(A) To find the product of $(x+4)(x+10)$,we use the algebraic identity:$(x+a)(x+b) = x^2 + (a+b)x + ab$Here,$a = 4$ and $b = 10$.Substituting these values into the identity:$(x+4)(x+10) = x^2 + (4+10)x + (4 \times 10)$Calculating the terms:$= x^2 + 14x + 40$Thus,the product is $x^2 + 14x + 40$.