(factorise) please answer the all questions niral
Answers
Ans:- 25p² - 9q²
= (5p)²-(3q)²
= (5p - 3q)(5p + 3q)
10. 16a²b - 64b³
= 16b(a²-4b²)
= 16b((a)²-(2b)²)
= 16b(a-2b)(a+2b)
11. 25x³y³ - 49xy
= xy(25x²y² - 49)
= xy((5xy)² - (7)²)
= xy(5xy + 7)(5xy - 7)
12. p⁴ - 256
= (p²)² - (16)²
= (p²+16)(p² -16)
= (p²+16)((p)²-(4)²)
= (p²+16)(p+4)(p-4)
13. a²-(b-c)²
= (a - b + c)(a + b - c)
14. 25m² - (4n + 3l)²
= (5m)² - (4n + 3l)²
= (5m - 4n - 3l)(5m + 4n + 3l)
15. (2a + 3b)² - 4c²
= (2a + 3b)² - (2c)²
= (2a + 3b + 2c)(2a + 3b - 2c)
16. (64m² - 144mn + 81n²) - 25p²
= ((8m)² - 2×(8m)×(9n) + (9n)²) - (5p)²
= (8m - 9n)² - (5p)²
= (8m - 9n + 5p)(8m - 9n - 5p)
17. 16x² + 9y² + 4z² + 24xy + 12yz + 16zx
= (4x)² + (3y)² + (2z)² + 2(4x)(3y) + 2(3y)(2z) + 2(2z)(4x)
= (4x + 3y + 2z)²
= (4x + 3y + 2z)(4x + 3y + 2z)
18. x² + 4y² + 9z² -4xy + 12yz - 6zx
= (-x)² + (2y)² + (3z)² + 2(-x)(2y) + 2(2y)(3z) + 2(3z)(-x)
= (-x+2y+3z)²
19. 4a²+b²+25c² - 4ab - 10bc +20ca
= (2a)² + (-b)² + (5c)² + 2(2a)(-b) + 2(-b)(5c) + 2(5c)(2a)
= (2a - b + 5c)²
20. a² + b²/4 + c²/9 + ab + bc/3 + 2/3ca
= (a)² + (b/2)² + (c/3)² + 2(a)(b/2) + 2(b/2)(c/3) + 2(c/3)(a)
= (a + b/2 + c/3)²
here is your answer
hope it will help you