Question

(x+2)(x-2) product of the following

Answer 1

GIVEN ;-

• (x + 2)(x - 2)

TO FIND :-

• The product of (x + 2)(x - 2)

SOLUTION :-

⚠ We can solve this question by two methods .

1st Method:-

➬ (x + 2)(x - 2)

➬ x(x - 2) + 2(x - 2)

➬ x² - 2x + 2x - 4

➬ x² - 4

Hence the required answer is x² - 4.

2nd Method :-

➬ (x + 2)(x - 2)

By using identity:- (a + b)(a - b) = a² - b²

➬ x² - 2²

➬ x² - 4

Hence the required answer is x² - 4.

ADDITIONAL INFORMATION :-

➳ ( x + y )² = x² + 2xy + y²

➳ ( x - y )² = x² - 2xy + y²

➳ ( x - y ) ( x -y ) = ( x - y )²

➳ ( x + y ) ( x + y ) = ( x + y )²

➳ x² - y² = ( x + y ) ( x - y )

➳ ( x + y + z )² = x² + y² + z² + 2xy + 2yz + 2zx.

➳ ( x + a ) ( x + b ) = x² + ( a + b)x + ab

Answer 2

Answer and Explanation;

Each term in the second bracket is multiplied by each term in the first bracket

(x+2)(x−2)

=x(x−2)+2(x−2)

=(x×x)+(x×−2)+(2×x)+(2×2)

=x^2+(−2x)+2x+4

=x^2−2x+2x+4

=x^2−4