1. 8x² + 10xy + 3y²
2. 25x²y² - 4z²
3. x⁴ + 6x²y + 9y²
4. 8x³y³ + 36x²y² + 54xy + 27
5. 343y³ - 125
Answer:
2. (5y) 2-4z²
3. 4+12y+α y²
4. 15y
Step-by-step explanation:
2. used difference of squares:a²-b²=(a+b)(a-b).
(5y) ²-(2z) ²
use multiplication distributive property:(xy)α xα yα. (5y)²-2²z²
simplify 2² to 4
(5y)²-4z²
3. use square of sum (a+b)²=a²+2ab+b²
2²+2x2y3y+(3y)²
4+2x2x3y+(3y)²
use multiplication distributive property:(xy)α=xα yα 4+2x2x3y+3² y²
simplify 3² to 9.
4+2x2x3y+αy²
simplify 2x2x3y to 12y.
4+12y+ay²
4. simplify 2y+3y to 5y
5y x 3
simplify
15y
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Answers & Comments
1. 8x² + 10xy + 3y²
2. 25x²y² - 4z²
3. x⁴ + 6x²y + 9y²
4. 8x³y³ + 36x²y² + 54xy + 27
5. 343y³ - 125
Answer:
2. (5y) 2-4z²
3. 4+12y+α y²
4. 15y
Step-by-step explanation:
2. used difference of squares:a²-b²=(a+b)(a-b).
(5y) ²-(2z) ²
use multiplication distributive property:(xy)α xα yα. (5y)²-2²z²
simplify 2² to 4
(5y)²-4z²
3. use square of sum (a+b)²=a²+2ab+b²
2²+2x2y3y+(3y)²
simplify 2² to 4
4+2x2x3y+(3y)²
use multiplication distributive property:(xy)α=xα yα 4+2x2x3y+3² y²
simplify 3² to 9.
4+2x2x3y+αy²
simplify 2x2x3y to 12y.
4+12y+ay²
4. simplify 2y+3y to 5y
5y x 3
simplify
15y