Question

1. (16y2+4yz2+z4)(4y-z2) 2. (4z6-2x3z3+x6)(2z3+x3) 3. (3p-4)(9p2+12p+16)

Answer 1

Рада была помочь)))))))❤️

Answer 2

It looks like you've provided three different expressions, and it seems like you want me to help you simplify each of them. I'll go through each expression and simplify it step by step:

Expression 1: $(16y^2 + 4yz^2 + z^4)(4y - z^2)$

To simplify, you can use the distributive property (FOIL method) to multiply the two expressions:

First, multiply the terms in the first expression by the terms in the second expression: $16y^2 \cdot 4y + 16y^2 \cdot (-z^2) + 4yz^2 \cdot 4y - 4yz^2 \cdot z^2 + z^4 \cdot 4y - z^4 \cdot z^2$

Simplify each term: $64y^3 - 16y^2z^2 + 16yz^3 - 4yz^4 + 4yz^4 - z^6$

Combine like terms: $64y^3 + 16yz^3 - z^6$

Expression 2: $(4z^6 - 2x^3z^3 + x^6)(2z^3 + x^3)$

Apply the distributive property again: $4z^6 \cdot 2z^3 + 4z^6 \cdot x^3 - 2x^3z^3 \cdot 2z^3 - 2x^3z^3 \cdot x^3 + x^6 \cdot 2z^3 + x^6 \cdot x^3$

Simplify each term: $8z^9 + 4x^3z^6 - 4x^3z^6 - 2x^6z^3 + 2x^6z^3 + x^9$

Combine like terms: $8z^9 + x^9$

Expression 3: $(3p - 4)(9p^2 + 12p + 16)$

Once more, use the distributive property: $3p \cdot 9p^2 + 3p \cdot 12p + 3p \cdot 16 - 4 \cdot 9p^2 - 4 \cdot 12p - 4 \cdot 16$

Simplify each term: $27p^3 + 36p^2 + 48p - 36p^2 - 48p - 64$

Combine like terms: $27p^3 - 64$

So, the simplified expressions are:

1. $64y^3 + 16yz^3 - z^6$
2. $8z^9 + x^9$
3. $27p^3 - 64$