Question

factorise 18xsquare - 32 ysquare​

Answer 1

Answer:

2(3x+4y)(3x-4y)

Step-by-step explanation:

=>18x^2+32y^2

=>2(9x^2-16y^2)

=>2(3x+4y)(3x-4y)

Hope it's helpful to you

Answer 2

18x² - 32y² = 2(3x + 4y)(3x - 4y)  in factored form.

Given:

• 18x² - 32y²

To Find:

• Factors

Solutions:

• Factorization is finding factors which when multiplied together results in the original number.

Step 1:

Taken 2 as common factor from both the terms

18x² - 32y²

= 2(9x² - 16y²)

Step 2:

Rewrite  9x² and 16y²   as square term

= 2((3x)² - (4y)²)

Step 3:

Use the identity a² - b² = (a + b)(a - b) where a = 3x and b = 4y

= 2(3x + 4y)(3x - 4y)

18x² - 32y² = 2(3x + 4y)(3x - 4y)