Evaluate
14x^{2}+5x-4
Expand
14x^{2}+5x-4
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\left(3x\right)^{2}-2^{2}+5x\left(x+1\right)
Consider \left(3x-2\right)\left(3x+2\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
3^{2}x^{2}-2^{2}+5x\left(x+1\right)
Expand \left(3x\right)^{2}.
9x^{2}-2^{2}+5x\left(x+1\right)
Calculate 3 to the power of 2 and get 9.
9x^{2}-4+5x\left(x+1\right)
Calculate 2 to the power of 2 and get 4.
9x^{2}-4+5x^{2}+5x
Use the distributive property to multiply 5x by x+1.
14x^{2}-4+5x
Combine 9x^{2} and 5x^{2} to get 14x^{2}.
\left(3x\right)^{2}-2^{2}+5x\left(x+1\right)
Consider \left(3x-2\right)\left(3x+2\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
3^{2}x^{2}-2^{2}+5x\left(x+1\right)
Expand \left(3x\right)^{2}.
9x^{2}-2^{2}+5x\left(x+1\right)
Calculate 3 to the power of 2 and get 9.
9x^{2}-4+5x\left(x+1\right)
Calculate 2 to the power of 2 and get 4.
9x^{2}-4+5x^{2}+5x
Use the distributive property to multiply 5x by x+1.
14x^{2}-4+5x
Combine 9x^{2} and 5x^{2} to get 14x^{2}.
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Limits
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