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marusya05 [52]
3 years ago
9

Study the products shown. Is there a pattern? (x + 3)2 = x2 + 6x + 9 (x + 4)2 = x2 + 8x + 16 (x + 5)2 = x2 + 10x + 25 (x + 6)2 =

x2 + 12x + 36
Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

Yes,a similar formula is used to find all the products

Step-by-step explanation:

The formula applied in this case is;

(a+b)²=   (a+b) (a+b)= a(a+b)+b(a+b) = a²+ab+ab+b²= a²+2ab+b²

In the first one;

(x+3)^2= (x+3) (x+3) = x(x+3)+3(x+3) = x^2 +3x+3x+9  = x^2 +6x +9

In the second one;

(x+4)^2 = (x+4) (x+4) = x(x+4)+ 4(x+4) = x^2 +4x+4x+16 = x^2 +8x+16

⇒This is the same for the third and fourth product.

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