Question

(-11b+2a^5)^2 , (12xy^2-x^2y)^2

Answer 1

1. $4a^2-44a^2b+121b^2$

2. $144x^{2} y^4-24x^{2y+1} y^2+x^{4y}$

Answer 2

To simplify the expressions, let's expand and simplify each of them:

1. Expression: (-11b + 2a^5)^2

Expanding this expression gives us: (-11b + 2a^5) * (-11b + 2a^5)

To simplify, we'll use the FOIL method (First, Outer, Inner, Last): (-11b * -11b) + (-11b * 2a^5) + (2a^5 * -11b) + (2a^5 * 2a^5)

Simplifying each term: 121b^2 - 22ab^5 - 22ab^5 + 4a^10

Combining like terms: 121b^2 - 44ab^5 + 4a^10

Therefore, (-11b + 2a^5)^2 simplifies to 121b^2 - 44ab^5 + 4a^10.

2. Expression: (12xy^2 - x^2y)^2

Expanding this expression gives us: (12xy^2 - x^2y) * (12xy^2 - x^2y)

Using the FOIL method: (12xy^2 * 12xy^2) + (12xy^2 * -x^2y) + (-x^2y * 12xy^2) + (-x^2y * -x^2y)

Simplifying each term: 144x^2y^4 - 12x^3y^3 - 12x^3y^3 + x^4y^2

Combining like terms: 144x^2y^4 - 24x^3y^3 + x^4y^2

Therefore, (12xy^2 - x^2y)^2 simplifies to 144x^2y^4 - 24x^3y^3 + x^4y^2.