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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:
- 2x2 + 6x + 4
- x2 + 4x + 4.
Factorise 2x2 + 6x + 4 by using the figure.
Calculate the area of figure.
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Solution
i. 2x2 + 6x + 4 = 2x2 + 4x + 2x + 4
= 2x(x + 2) + 2(x + 2)
= (x + 2)(2x + 2)
= 2(x + 2)(x + 1)
ii. x2 + 4x + 4 = x2 + 2x + 2x + 4
= x2 + 2x + 2x + 4
= x(x + 2) + 2(x + 2)
= (x + 2)(x + 2)
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