⚠️Kindly Don't spamm⚠️– Non-copied Answer

(a)GIVEN :–TO FIND :–• Value of 'k' = ?SOLUTION :–• Using identity –• So that –▪︎ Hence , The value of k is 48.(b) GIVEN :–TO FIND :– SOLUTION :–• Let –• Using identity –• So that –• Put the values –

BrainlyPopularman

Verified answer

(a)

GIVEN :–

$\\ \tt \implies x {y}^{2} k = {(4xy + 3y)}^{2} - {(4xy - 3y)}^{2} \\$

TO FIND :–

• Value of 'k' = ?

SOLUTION :–

$\\ \tt \implies x {y}^{2} k = {(4xy + 3y)}^{2} - {(4xy - 3y)}^{2} \\$

• Using identity –

$\\ \tt \implies {(a)}^{2} - {(b)}^{2} = (a + b)(a - b)\\$

• So that –

$\\ \tt \implies x {y}^{2} k = {(4xy + 3y + 4xy - 3y)} {(4xy + 3y - \{4xy - 3y \})} \\$

$\\ \tt \implies x {y}^{2} k = {(4xy + 4xy )} {(4xy + 3y - 4xy + 3y)} \\$

$\\ \tt \implies x {y}^{2} k = {(8xy)} {(3y + 3y)} \\$

$\\ \tt \implies x {y}^{2} k = {(8xy)} {(6y)} \\$

$\\ \tt \implies x {y}^{2} k =48x {y}^{2}\\$

$\\ \tt \implies k = \dfrac{48x {y}^{2}}{x {y}^{2}}\\$

$\\ \large \implies{ \boxed{ \tt k = 48}}\\$

▪︎ Hence , The value of k is 48.

$\\\ruleno numeric noise key 1071no numeric noise key 1070 \\$

(b)

GIVEN :–

$\\ \tt \implies {a}^{2} + {b}^{2} = 9 \: \: and \: \: ab = 4\\$

TO FIND :–

$\\ \tt \implies Value \: \: of \: \: 3 {(a + b)}^{2} - 2(a - b)^{2} =?\\$

SOLUTION :–

• Let –

$\\ \tt \implies P = 3 {(a + b)}^{2} - 2(a - b)^{2}\\$

• Using identity –

$\\ \tt \implies (a \pm b)^{2} = {a}^{2} + {b}^{2} \pm2ab\\$

• So that –

$\\ \tt \implies P = 3[{a}^{2} + {b}^{2} + 2ab]- 2[{a}^{2} + {b}^{2} - 2ab]\\$

• Put the values –

$\\ \tt \implies P = 3[9+2(4)]- 2[9 - 2(4)]\\$

$\\ \tt \implies P = 3(9+8)- 2(9 -8)\\$

$\\ \tt \implies P = 3(17)- 2(1)\\$

$\\ \tt \implies P =51- 2\\$

$\\ \large\implies{ \boxed{ \tt P =49}}\\$

BrainlyHero420

Answer:

❖ 1) ✯ Given :-

xy²k = (4xy + 3y)² - (4xy - 3y)²

✯ To Find :-

What is the value of k.

✯ Solution :-

➙ xy²k = (4xy + 3y)² - (4xy - 3y)²

⇒ xy²k = 16x²y² + 9y² + 24xy² - (16x²y² + 9y² - 24xy²)

⇒ xy²k = 16x²y² + 9y² + 24xy² - 16x²y² - 9y² + 24xy²

⇒ xy²k = 48xy²

➥ k = 48

$\therefore$ The value of k is $\boxed{\bold{\large{48}}}$

_______________________________

❖ 2) ✯ Given :-

a² + b² = 9 and ab = 4

✯ To Find :-

What is the value of 3(a + b)² - 2(a - b)²

✯ Solution :-

➙ 3(a + b)² - 2(a - b)²

⇒ 3(a² + b² + 2ab) - 2(a² + b² - 2ab)

⇒ 3a² + 3b² + 6ab - 2a² - 2b² + 4ab

⇒ a² + b² + 10ab

» Putting a² + b² = 9 and ab = 4 we get,

⇒ 9 + 10(4)

⇒ 9 + 40

➥ 49

$\therefore$ The value of 3(a + b)² - 2(a - b)² is $\boxed{\bold{\small{49}}}$

Questions

Answers & Comments

Verified answer

❖ 1) ✯ Given :-

✯ To Find :-

✯ Solution :-

➥ k = 48

$\therefore$ The value of k is $\boxed{\bold{\large{48}}}$

_______________________________

❖ 2) ✯ Given :-

✯ To Find :-

✯ Solution :-

➥ 49

_______________________________

Add an Answer

8afeff311f2ff58a3a8f27a1f03a8531

find the values of x y and z in each of the case given below

Recommend Questions

Helpful Links

Helpful Social