Question

find the following product using identies (x+y)(x+z)​

Answer 1

Answer:

using identity the questions product will be x2+(y+z)x+yz And The Identity used is X + a Into X + b equals to X square + X into a b + ab

Answer 2

Question:

Find the following product using identies (x+y)(x+z).

Identity used:

$(x + a)(x+ b) = {x}^{2} + (a + b)x + ab$

Solution:

$\implies {x}^{2} + (y + z)x + yz$

Few More Identities:

$1.{(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \\ 2. {(x - y)}^{2} = {x}^{2} - 2xy - {y}^{2} \\ 3.(x + y)(x - y) = {x}^{2} - {y}^{2} \\ 4. {(x + y)}^{3} = {x}^{3} + {y}^{2} + 3 {x}^{2} y + 3x {y}^{2} \\ 5. \ {(x - y)}^{3} = {x}^{3} - {y}^{3} - 3 {x}^{2} y + 3 x{y}^{2} \\ 6. {x}^{3} + {y}^{3} + {z}^{3} - 3xyz = (x + y + z)( {x}^{2} + {y}^{2} + {z}^{2} - xy - yz - xz )\\ 7.({x + y + z)}^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 2xy + 2yz + 2zx$

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