Question

Take suitable number of cards given in the adjoining diagram [G(x × x) representing x², R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: x² + 4x + 4. Factorise 2x² + 6x + 4 by using the figure.

Calculate the area of figure.

Answer 1

`x^2 + 4x + 4 = x^2 + 2x + 2x + 4`

= `x^2 + 2x + 2x + 4`

= `x(x + 2) + 2(x + 2)`

= `(x + 2)(x + 2)`