Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Algebra I Regents Exam Questions by State Standar www.jmap.org
438 Which expression is equivalent to 
36x^(2)-100 ?


4(3x-5)(3x-5)

4(3x+5)(3x-5)

2(9x-25)(9x-25)

2(9x+25)(9x-25)

Algebra I Regents Exam Questions by State Standar www.jmap.org\newline438438 Which expression is equivalent to 36x2100 36 x^{2}-100 ?\newline11) 4(3x5)(3x5) 4(3 x-5)(3 x-5) \newline22) 4(3x+5)(3x5) 4(3 x+5)(3 x-5) \newline33) 2(9x25)(9x25) 2(9 x-25)(9 x-25) \newline44) 2(9x+25)(9x25) 2(9 x+25)(9 x-25)

Full solution

Q. Algebra I Regents Exam Questions by State Standar www.jmap.org\newline438438 Which expression is equivalent to 36x2100 36 x^{2}-100 ?\newline11) 4(3x5)(3x5) 4(3 x-5)(3 x-5) \newline22) 4(3x+5)(3x5) 4(3 x+5)(3 x-5) \newline33) 2(9x25)(9x25) 2(9 x-25)(9 x-25) \newline44) 2(9x+25)(9x25) 2(9 x+25)(9 x-25)
  1. Apply formula: Difference of squares formula is a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b). Here, 36x236x^2 is (6x)2(6x)^2 and 100100 is 10210^2.
  2. Use difference of squares: Apply the difference of squares formula to get (6x10)(6x+10)(6x - 10)(6x + 10).
  3. Factor out common factor: Factor out the common factor of 44 from both terms in the product to get 4(3x5)(3x+5)4(3x - 5)(3x + 5).
  4. Check answer choices: Check the answer choices to find the equivalent expression.

More problems from Write a quadratic function from its x-intercepts and another point