Question

Using Identity IV solve ( x + 3) ( x + 7 )​

Answer 1

$\huge{\tt{\red{❥}\green{A}\purple{N}\pink{S}\blue{W}\orange{E}\red{R}}}$

$\pink\longrightarrow$ ( x + 3) ( x + 7 )

$\pink\longrightarrow$ ( x × x ) + ( x × 7 ) + ( 3 × x ) + ( 3 × 7 )

$\pink\longrightarrow$ x² + 7x + 3x + 21

$\pink\longrightarrow$ x² + 10x + 21

Answer 2

x + 3 = 0

x + 3 = 0L.H.S. = x + 3

x + 3 = 0L.H.S. = x + 3By putting x = 3,

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3By putting x = 0,

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3By putting x = 0,L.H.S. = 0 + 3 = 3 ≠ R.H.S.

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3By putting x = 0,L.H.S. = 0 + 3 = 3 ≠ R.H.S.∴ No, the equation is not satisfied.

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3By putting x = 0,L.H.S. = 0 + 3 = 3 ≠ R.H.S.∴ No, the equation is not satisfied.(iii) x + 3 = 0

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3By putting x = 0,L.H.S. = 0 + 3 = 3 ≠ R.H.S.∴ No, the equation is not satisfied.(iii) x + 3 = 0L.H.S. = x + 3

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3By putting x = 0,L.H.S. = 0 + 3 = 3 ≠ R.H.S.∴ No, the equation is not satisfied.(iii) x + 3 = 0L.H.S. = x + 3By putting x = −3,

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3By putting x = 0,L.H.S. = 0 + 3 = 3 ≠ R.H.S.∴ No, the equation is not satisfied.(iii) x + 3 = 0L.H.S. = x + 3By putting x = −3,L.H.S. = − 3 + 3 = 0 = R.H.S.

x + 3 = 0L.H.S. = x + 3By putting x = 3,L.H.S. = 3 + 3 = 6 ≠ R.H.S.∴ No, the equation is not satisfied.(ii) x + 3 = 0L.H.S. = x + 3By putting x = 0,L.H.S. = 0 + 3 = 3 ≠ R.H.S.∴ No, the equation is not satisfied.(iii) x + 3 = 0L.H.S. = x + 3By putting x = −3,L.H.S. = − 3 + 3 = 0 = R.H.S.∴ Yes, the equation is satisfied.

5x = 25

5x = 25L.H.S. = 5x

5x = 25L.H.S. = 5xBy putting x = 0,

5x = 25L.H.S. = 5xBy putting x = 0,L.H.S. = 5 × 0 = 0 ≠ R.H.S.

5x = 25L.H.S. = 5xBy putting x = 0,L.H.S. = 5 × 0 = 0 ≠ R.H.S.∴ No, the equation is not satisfied.

Refer to the attachment