3 years ago

Pls help 25h²- 16t² factorise it

Mathematics

2 answers:

noname [10]3 years ago

8 0

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding and subtracting 20ht from it (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

shepuryov [24]3 years ago

5 0

Answer:

(5h - 4t)(5h + 4t)

Step-by-step explanation:

25 h² - 16t² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Then

25h² - 16t²

= (5h)² - (4t)²

= (5h - 4t)(5h + 4t) ← in factored form

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