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Answers
hello friends..
problem: simplify the following g(2x-3y)(3x+y)+
(x + 2y)(x - y)
Solution:
(2x - 3y)(3x + y) * (x + 2y) * (x - y)
=(6x^ 2 +2xy-9xy-3y^ 2 )+(x^ 2 -xy+2xy-2y^ 2 )
=(6x^ 2 -7xy-3y^ 2 )+(x^ 2 +xy-2y^ 2 )
=7x^ 2 -6xy-5y^ 2 answer
2. (8x + 35) (6x + 35)
____________________
49
3. (7ABC + B ^ 2)(7 - BC) + C(2B ^ 3 - 9AB)
= 49ABC+7B^ 2 -7AB^ 2 C^ 2 -B^ 3 C+2B^ 3 C-? 9ABC
= 4OABC+7B^ 2 -7AB^ 2 C^ 2 +B^ 3 C
10ABC + 7B ^ 2 - 7A * B ^ 2 * C ^ 2 + B ^ 3 * C IS THE REQUIRED
4.(p + q)(p ^ 2 - q ^ 2) + (p - q)(p ^ 2 + q ^ 2)
=(p+q)(p+q)(p-q)+(p-q)(p^ 2 +q^ 2 )
/* By algebraic identity:
x^ 2 -y^ 2 =(x+y)(x-y)^ * /
=(p-q)[(p+q)^ 2 +(p^ 2 +q^ 2 )]
=(p-q)[p^ 2 +2pq+q^ 2 +p^ 2 +q^ 2 ]
=(p-q)(2p^ 2 +2pq+2q^ 2 )
=2(p-q)(p^ 2 +pq+q^ 2 )
=2(p^ 3 -q^ 3 )
I* By algebraic identity:
(x - y)(x ^ 2 + xy + y ^ 2) = x ^ 3 - y ^ 3 * i
Therefore,
(p + q)(p ^ 2 - q ^ 2) + (p - q)(p ^ 2 + q ^ 2)
=2(p^ 3 -q^ 3 )
5.(x + 2y)(- 3x - y) - (x + y)(x - y) + (x - 2y)(- 2x + y)
- 3x ^ 2 - xy - 6xy - 2y ^ 2 - x ^ 2 + xy - xy + y ^ 2 - 2x ^ 2 + xy + 4xy - 2y ^ 2
(- 3 - 1 - 2) * x ^ 2 + (- 1 - 6 + 1 - 1 + 1 + 4) * x * y + (- 2 + 1 - 2) * y ^ 2
- 6y ^ 2 - 2xy - 3y ^ 2
answer :
- 6y ^ 2 - 2xy - 3y ^ 2
6. 4+222+4−(4−2⋅2−22−1(−2)⋅2)
Hope it's Help you.
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itz Ananya
