Question

25x^4 + 21x^2 y^2+ 9y^4

Answer 1

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((25•(x4))+((21•(x2))•(y2)))+32y4

STEP

2

:

Equation at the end of step

2

:

((25 • (x4)) + ((3•7x2) • y2)) + 32y4

STEP

3

:

Equation at the end of step

3

:

(52x4 + (3•7x2y2)) + 32y4

STEP

4

:

Trying to factor a multi variable polynomial

4.1 Factoring 25x4 + 21x2y2 + 9y4 my

Answer 2

Answer:

Solution :-

★ 25x⁴ + 21x²y² + 9y⁴

➙ (5x²)² + 2 × 5x² × 3y² + (3y²)² - 9x²y²

➙ (5x² + 3y²)² - 9x²y²

➙ (5x² + 3y²)² - (3xy)²

➙ (5x² + 3y² + 3xy) (5x² + 3y² - 3xy)

∴ The answer of this question is (5x² + 3y² + 3xy) (5x² + 3y² - 3xy)

Formula used :-

❃ (a + b)²

➭ a² + 2ab + b²

❖ a² - b²

➻ (a + b) (a - b)