因式分解 (1)-5a^2+25a (2) -x^4+16y^4 (3) 4a^2b^2+4ab+1 (4) m^2+3m-4 (5) 4m^2-3n(4m-3n
问题描述:
因式分解 (1)-5a^2+25a (2) -x^4+16y^4 (3) 4a^2b^2+4ab+1 (4) m^2+3m-4 (5) 4m^2-3n(4m-3n
答
1.-5a^2+25a
=5a(5-a)
2. -x^4+16y^4
=(4y²)²-(x²)²
=(4y²+x²)(4y²-x²)
=(4y²+x²)(2y+x)(2y-x)
3. 4a^2b^2+4ab+1
=(2ab)²+2×2ab+1
=(2ab+1)²
4. m^2+3m-4
=(m+4)(m-1)
5.4m^2-3n(4m-3n)
= 4m²-12mn+9n²
=(2m-3n)²