Advertisements
Advertisements
Question
Expand the following square, using suitable identities
(mn + 3p)2
Advertisements
Solution
(mn + 3p)2
Comparing (mn + 3p)2 with (a + b)2 we have
(a + b)2 = a2 + 2ab + b2
(mn + 3p)2 = (mn)2 + 2(mn)(3p) + (3p)2
(mn + 3p)2 = m2n2 + 6mnp + 9p2
APPEARS IN
RELATED QUESTIONS
Find the following squares by suing the identities.
(b − 7)2
Find the following squares by suing the identities
(xy + 3z)2
Find the following squares by suing the identities.
`(2/3 m + 3/4 n)^2`
Simplify (a2 − b2)2
Expand:
(2a – 3b)2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 12x + 36
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2ax + 1
Factorise the following.
y2 + 7y + 12
The height of a triangle is x4 + y4 and its base is 14xy. Find the area of the triangle.
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
