Question

convert the following perfect square trinomialas to squared binomial
x^2 +14x+49

y^2-18y+81

Answer 1

(x+7)^2
(y-9)^2

Answer 2

x^2 +14x+49


(x^2+7x)+(7x+49)


x(x+7)+7(x+7)


(x+7)(x+7)


(x+7)^2


So x^2+14x+49 factors to (x+7)^2


In other words, x^2+14x+49=(x+7)^2

Answer 3

Use the same idea to factor the second expression