Find the value of the expression (9x2 + 24x + 16), when x = 12.

1.	Find the value of the expression (9x2 + 24x + 16), when x = 12.
Answer» Given, (9x² + 24x + 16) x = 12 So, we can also write it as; = (3x)² + 2(3x)(4) + (4)² → By the formula (a + b)² we get, = (3x + 4)² = [3 (12) + 4]² = [36 + 4]² = [40]² = 1600 Hence the value of the expression is 1600 when x =12.

Answer»

Given,

(9x² + 24x + 16)

x = 12

So, we can also write it as;

= (3x)² + 2(3x)(4) + (4)²

→ By the formula (a + b)² we get,

= (3x + 4)²

= [3 (12) + 4]²

= [36 + 4]²

= [40]² = 1600

Hence the value of the expression is 1600 when x =12.

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