Question

$27 {x}^{4} + 343x$
factorise the polynomial
(please do in notebook )
{whosoever do in my notebook will be mark as brainliest answer }​

Answer 1

GIVEn

27x⁴ + 343x

Factories it

SOLUTIOn

→ 27x⁴ + 343x

Take x as a common

→ x(27x³ + 343)

→ x[(3x)³ + (7)³]

★ Applying identity :

a³ + b³ = (a + b)(a² - ab + b²)

→ x[(3x + 7){(3x)² - 3x*7 + (7)²}]

→ x(3x + 7)(9x² - 21x + 49)

SOMe IDENTITIEs

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• a² - b² = (a + b)(a - b)

Answer 2

GIVEN:

• 27x⁴ + 343x

TO FIND:

• Factorize it

SOLUTION:

$\mapsto$ 27x⁴ + 343x

Taking 'x' as a common from the equation

$\mapsto$ x(27x³ + 343)

$\mapsto$ x[(3x)³ + (7)³]

Using Identity:-

$\bf{(a^3 + b^3) = (a + b)(a^2 - ab + b^2)}$

On putting the values in the identity, we get

$\mapsto$ x{(3x + 7)[(3x)² - 3x $\times$7 + (7)²]}

$\mapsto$ x[(3x + 7)(9x² - 21x + 49)]

________________

✬  Some Identities ✬ 

➲ (a + b)² = a² + 2ab + b²

➲ (a–b)² = a² – 2ab + b²

➲ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

➲ (a)²–(b)² = (a + b)(a–b)