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6 · (10 + 2) + (10 − 2)

4

Step-by-step explanation:

10+2=12

10-2=8

8-12=4

Step-by-sTep explanation:

The value of the f (3 +h) is  h² + 9h + 23 .

As the function given in the question be

f(x)= x² + 3x + 5

Now

f(3 +h )= (3 +h )²+3(3 + h)+5

Now by using the formula

(a + b)² = a² +  b² + 2ab

f(3 +h )= 3² + h² + 2 × 3 × h +3 × 3 + 3 ×h +5

f(3 +h )= 9 + h² + 6h  + 9  + 3h +5

f(3 +h )=  h² + 9  + 9 + 5 + 3h + 6h

f(3 +h )=  h² + 9h + 23

Therefore the value of the f (3 +h) is  h² + 9h + 23 .

Option (B) is correcT