Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Simplify the expression(a4−6a2b2+ b4)−(−2a4+5a2b2+ 3b4) and hence, find its value for a = 2and b = −1.

Sagot :

MrRoyal

Answer:

(a) [tex]3a^4 - 11a^2b^2 -2b^4[/tex]

(b) [tex]3a^4 - 11a^2b^2 -2b^4= 2[/tex]

Step-by-step explanation:

Given

[tex](a^4 - 6a^2b^2+ b^4) - (-2a^4+5a^2b^2+ 3b^4)[/tex]

Solving (a): Simplify

[tex](a^4 - 6a^2b^2+ b^4) - (-2a^4+5a^2b^2+ 3b^4)[/tex]

Open brackets

[tex]a^4 - 6a^2b^2+ b^4 +2a^4-5a^2b^2- 3b^4[/tex]

Collect Like Terms

[tex]a^4 +2a^4- 6a^2b^2-5a^2b^2+ b^4 - 3b^4[/tex]

Simplify Like Terms

[tex]3a^4 - 11a^2b^2 -2b^4[/tex]

Solving (b): Simplify when a = 2 and b = -1

[tex]3a^4 - 11a^2b^2 -2b^4[/tex]

[tex]3*(2)^4 - 11*(2^2)*(-1)^2 -2*(-1)^4[/tex]

[tex]3 * 16 - 11 * 4 * 1 - 2 * 1[/tex]

[tex]48 - 44 - 2[/tex]

[tex]= 2[/tex]

Hence:

[tex]3a^4 - 11a^2b^2 -2b^4= 2[/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.