Advertisements
Advertisements
प्रश्न
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/8 - y^2/18`
Advertisements
उत्तर
We have,
`x^2/8 - y^2/18 = 1/2(x^2/4 - y^2/9)`
= `1/2[(x/2)^2 - (y/3)^2]`
= `1/2(x/2 + y/3)(x/2 - y/3)`
APPEARS IN
संबंधित प्रश्न
If X = a2 – 1 and Y = 1 – b2, then find X + Y and factorize the same
Simplify (5x – 3y)2 – (5x + 3y)2
(a + b)(a – b) = a2 – b2
Multiply the following:
(a2 – b2), (a2 + b2)
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
16x4 – 81
Factorise the expression and divide them as directed:
(x2 – 22x + 117) ÷ (x – 13)
Factorise the expression and divide them as directed:
(3x2 – 48) ÷ (x – 4)
Factorise the expression and divide them as directed:
(3x4 – 1875) ÷ (3x2 – 75)
Verify the following:
(ab + bc)(ab – bc) + (bc + ca)(bc – ca) + (ca + ab)(ca – ab) = 0
Verify the following:
(p – q)(p2 + pq + q2) = p3 – q3
