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which expression is equivalent to 16w^2+24w+9

Sagot :

Answer:

(4w+3)^2

Step-by-step explanation:

rewrite in exponential form

4^2w^2+24w+9

write as a product with the factors 4w and 3

4^2w^2+2 x 4w x 3 + 3^2

calculate

(4w)^2 + 2 x 4w x 3 + 3^2

factor using a^2+2ab+b^2 = (a+b)^2

(4w+3)^2