Evaluate
-28x^{2}+142x-\frac{391}{4}
Expand
-28x^{2}+142x-\frac{391}{4}
গ্রাফ
শেয়ার করুন
ক্লিপবোর্ডে কপি করা হয়েছে
\left(6x-\frac{3}{2}\right)^{2}-\left(8\left(x-\frac{5}{4}\right)\right)^{2}
Use the distributive property to multiply 6 by x-\frac{1}{4}.
36x^{2}-18x+\frac{9}{4}-\left(8\left(x-\frac{5}{4}\right)\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(6x-\frac{3}{2}\right)^{2}.
36x^{2}-18x+\frac{9}{4}-\left(8x-10\right)^{2}
Use the distributive property to multiply 8 by x-\frac{5}{4}.
36x^{2}-18x+\frac{9}{4}-\left(64x^{2}-160x+100\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(8x-10\right)^{2}.
36x^{2}-18x+\frac{9}{4}-64x^{2}+160x-100
To find the opposite of 64x^{2}-160x+100, find the opposite of each term.
-28x^{2}-18x+\frac{9}{4}+160x-100
Combine 36x^{2} and -64x^{2} to get -28x^{2}.
-28x^{2}+142x+\frac{9}{4}-100
Combine -18x and 160x to get 142x.
-28x^{2}+142x-\frac{391}{4}
Subtract 100 from \frac{9}{4} to get -\frac{391}{4}.
\left(6x-\frac{3}{2}\right)^{2}-\left(8\left(x-\frac{5}{4}\right)\right)^{2}
Use the distributive property to multiply 6 by x-\frac{1}{4}.
36x^{2}-18x+\frac{9}{4}-\left(8\left(x-\frac{5}{4}\right)\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(6x-\frac{3}{2}\right)^{2}.
36x^{2}-18x+\frac{9}{4}-\left(8x-10\right)^{2}
Use the distributive property to multiply 8 by x-\frac{5}{4}.
36x^{2}-18x+\frac{9}{4}-\left(64x^{2}-160x+100\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(8x-10\right)^{2}.
36x^{2}-18x+\frac{9}{4}-64x^{2}+160x-100
To find the opposite of 64x^{2}-160x+100, find the opposite of each term.
-28x^{2}-18x+\frac{9}{4}+160x-100
Combine 36x^{2} and -64x^{2} to get -28x^{2}.
-28x^{2}+142x+\frac{9}{4}-100
Combine -18x and 160x to get 142x.
-28x^{2}+142x-\frac{391}{4}
Subtract 100 from \frac{9}{4} to get -\frac{391}{4}.
উদাহরণ
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