Advertisements
Advertisements
प्रश्न
Simplify: (a + b)2 + (a – b)2
Advertisements
उत्तर
Applying the identities
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2
(a + b)2 + (a – b)2 = a2 + 2ab + b2 + (a2 – 2ab + b2)
= a2 + 2ab + b2 + a2 – 2ab + b2
= a2(1 + 1) + ab(2 – 2) + b2(1 + 1)
= 2a2 + 0ab + 2b2
= 2a2 + 2b2
= 2(a2 + b2)
∴ (a + b)2 + (a – b)2 = 2(a2 + b2)
APPEARS IN
संबंधित प्रश्न
Using identities, evaluate 992
Using identities, evaluate 1022
Using identities, evaluate 8.92
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 103 × 98
Use an expansion formula to find the value.
(97)2
Use a formula to multiply of (4z – 5y)(4z + 5y)
Factors of 9x2 + 6xy are
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2abxy + b2y2
If a + b = 25 and a2 + b2 = 225, then find ab.
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.
