Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

1. Simplify (a+b)² - (a+b)(a-b).

2. Find the complete factorization of 3x rise to 4 - 48.
3. Find the product of (4a-5b)(16a² + 20ab + 25b²)
4. What value of "c" makes 25x²-30xy+c a perfect square trinomial?
5. The area of a square is (25a
²x²-30axy+9y²) square units. How long is its side?



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
(a+b)^2 - (a+b)(a-b) \\ \implies (a^2+2ab+b^2)-(a^2-b^2) \\ \implies a^2+2ab+b^2 -a^2+b^2 \\ \implies \boxed{2ab + 2b^2}

3x^4-48  \\ \implies 3(x^4-16)\\ \implies3(x^2+4)(x^2-4)\\ \implies\boxed{3(x^2+4)(x+2)(x-2)}

3. (factor of difference of two cubes)
(4a-5b)(16a^2 + 20ab + 25b^2)=\boxed{64a^3-125b^2}

4. (b²-4ac=0) b=-30y ; a=25
  (-30y)^2-4(25)c=0 \\ 900y^2-100c=0 \\ 900y^2=100c \\ \boxed{c=9y^2}

25a^2x^2-30axy+9y^2= (5ax-3y)^2
Its side measure \boxed{5ax-3y}

1 5 1
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts