Question

solve argent please let me know answers​

Answer 1

EXPLANATION.

Factorizes.

(1) 16x² + 25y² + 40xy.

As we know that,

Formula of :

⇒ (a + b)² = a² + b² + 2ab.

Using this formula in the equation, we get.

⇒ (4x)² + (5y)² + 2(4x)(5y).

⇒ (4x + 5y)².

(2) x² - 8x + 16.

As we know that,

Factorizes this equation into middle term splits, we get.

⇒ x² - 4x - 4x + 16.

⇒ x(x - 4) - 4(x - 4).

⇒ (x - 4)(x - 4).

⇒ (x - 4)².

(3) (a + 2b)² - a².

As we know that,

Formula of :

⇒ (a² - b²) = (a + b)(a - b).

Using this formula in the equation, we get.

⇒ (a + 2b)² - a² = (a + 2b + a)(a + 2b - a).

⇒ (a + 2b)² - a² = (2a + 2b)(2b).

Answer 2

Solutions :

① 16x² + 25y² + 40xy

By using, (a + b)² = a² + b² + 2ab

⇢ (4x)² + (5y)² + 2(4x)(5y)

⇢ (4x + 5y)²

② x² - 8x + 16

By using splitting middle term method,

⇢ x² - 4x - 4x + 16

⇢ x(x - 4) - 4(x - 4)

⇢ (x - 4)(x - 4)

⇢ (x - 4)²

③ (a + 2b)² - a²

By using, a² - b² = (a + b)(a - b)

⇢ (a + 2b + a)(a + 2b - a)

⇢ (2a + 2b)(2b)

FINAL ANSWER :

① (4x + 5y)²

② (x - 4)²

③ (2a + 2b)(2b)