Разложите на множетели: 16-49a^2; 4x^2-9a^2; 1-4b^2:100-36a^2…

1,16-49a^2=(4-7a) (4+7a) 4x^2-9a^2=(2x-3a) (2x+3a) 1-4b^2=(1-2b) (1+2b) 100-36a^2=(10-6a) (10+6a) 2. (m-n) ^2-p^2=m^2-2mn+n^2-p^2=(m^2-2mn)+(n^2-p^2)=m (m-2n)+(n-p) (n+p) 4a^2- (a+3b) ^2=4a^2-a^2-6ab-9b^2=3a^2-6ab+9b^2=3 (a^2-2ab+3b^2) 3. m^2+n^2, если m-n=3, а mn=28 m=3+n (3+n)*n=283n+n^2-28=0n^2+3n-28=0D=9-4*(-28)=121n1=-1+11/2=5n2=-1-11/2=-6m1=3+5=8m2=3-6=-3m^2+n^2=8^2+5^2=64+25=89m^2+n^2=(-6) ^2+(-3) ^2=36+9=45 Ответ: 89,45.