Question

Упростите выражения: 1) (m2+6n2)2-(6n2-m3)2; 2) (x2-7y3)2+(x2+7y3)2; 3) (9z+2x4)2-(2x4-9z)2; 4) (5a3-4b)2+(4b+5a3)2.

Answer 1

1) (m²+6n²)²-(6n²-m³)²=(m²+6n²+6n²-m³)(m²+6n²-6n²+m³)=(m²+12n²-m³)(m²+m³)=m⁴+12n²m²-m⁵+5m⁵+12n²m³-m⁶=-m⁶+m⁴+12m³n²+12m²n²

2) (x²-7y³)²+(x²+7y³)²=x⁴-14x²y³+49y⁶+x⁴+14x²y+49y⁶=2x⁴+98y⁶

3) (9z+2x⁴)²-(2x⁴-9z)²=(9z+2x⁴+2x⁴-9z)(9z+2x⁴-2x⁴+9z)=4x⁴*18z=72x⁴z

4) (5a³-4b²)²+(4b²+5a³)²=25a⁶-40a³b²+16b⁴+16b⁴+40b²a³+25a⁶=50a⁶+32b⁴

Answer 2

Решение на фотографии