(8 + x) (14 – x) = ……………. A) 121 – (x – 3)2 B) 12 �

1.	(8 + x) (14 – x) = ……………. A) 121 – (x – 3)2 B) 12 – (x – 3)2 C) 12 – (x – 31)2 D) 11 – (x- 12)2
Answer» A) 121 – (x – 3)² Correct option is (A) 121 – (x – 3)² (8 + x) (14 – x) \(=112-8x+14x-x^2\) \(=112+6x-x^2\) \(=112+9-9+6x-x^2\) \(=121-(9-6x+x^2)\) \(=121-(x^2-2\times x\times3+3^2)\) \(=121-(x-3)^2\)

(8 + x) (14 – x) = ……………. A) 121 – (x – 3)2 B) 12 – (x – 3)2 C) 12 – (x – 31)2 D) 11 – (x- 12)2

Answer»

A) 121 – (x – 3)²

Correct option is (A) 121 – (x – 3)²

(8 + x) (14 – x) \(=112-8x+14x-x^2\)

\(=112+6x-x^2\)

\(=112+9-9+6x-x^2\)

\(=121-(9-6x+x^2)\)

\(=121-(x^2-2\times x\times3+3^2)\)

\(=121-(x-3)^2\)