please also tell me how you factored it out by showing a solution :) thank you

1. 25y^4+70y^2z^2+49z^4

2. 20a^5x^4-140a^4bx^3y+245a^3b^2x^2y^2

3. 9/4a^2-5ab+25/9b^2
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

25y^4 + 70y^2z^2 + 49z^4

(a + b)^2 = a^2 + 2ab + b^2

a^2 is our 25y^4, so a is 5y^2

b^2 is our 49z^4, so b is 7z^2

(5y^2 + 7z^2) ^ 2

.

20a^5x^4-140a^4bx^3y+245a^3b^2x^2y^2

5a^3x^2 ( 4a^2x^2 - 28axy + 49b^2y^2)

a^2 is like our 4a^2x^2, so a is like 2ax

b^2 is like our 49b^2y^2, so b is like 7by

5 a^3 x^2 ( 2ax + 7by )^2

.

(9/4)a^2 - 5ab + (25/9)b^2

a^2 is like our (9/4)a^2, so a is like (3/2)a

b^2 is like our (25/9)b^2, so b is like (5/3)b

But it's - 5ab in the middle, not + 5ab, so the answer is not ( (3/2)a + (5/3)b )^2.  The answer is ( (3/2)a - (5/3)b )^2

by Level 13 User (103k points)

Related questions

1 answer
asked Apr 24, 2013 in Word Problem Answers by anonymous | 378 views
1 answer
asked Apr 6, 2011 in Algebra 1 Answers by anonymous | 1.2k views
0 answers
asked Aug 7, 2012 in Algebra 1 Answers by anonymous | 923 views
0 answers
asked Mar 27, 2012 in Algebra 2 Answers by anonymous | 409 views
0 answers
1 answer
asked Nov 21, 2011 in Algebra 1 Answers by anonymous | 972 views
1 answer
1 answer
asked Jul 17, 2013 in Algebra 1 Answers by teresa405 | 302 views
1 answer
asked May 5, 2014 in Other Math Topics by anonymous | 379 views
1 answer
1 answer
asked Jan 24, 2012 in Algebra 1 Answers by anonymous | 534 views
0 answers
asked Jan 24, 2012 in Algebra 1 Answers by thawes59 Level 1 User (400 points) | 450 views
1 answer
asked Jan 24, 2012 in Algebra 1 Answers by thawes59 Level 1 User (400 points) | 415 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,184 questions
97,330 answers
2,380 comments
24,564 users