Question

Simplify: (a + b +c)(a + b – c).

Answer 1

$\sf Question : (a + b +c)(a + b \: – \: c)$

$\sf {Solution \red{\downarrow} }$

$\sf \mapsto (a+b+c)(a+b-c)$

$\sf\mapsto a(a +b-c) + b(a +b-c) + c(a +b-c)$

$\sf\mapsto a² + ab - ac + ba + b² - bc + ca + cb - c²$

$\sf\mapsto a² + b² - c² + ab + ab + bc - bc - ac + ac$

$\Large \sf \orange {\longmapsto a² + b² - c² + 2ab}$

$\sf {Learn\: More \purple{\downarrow} }$

• class 9th maths algebraic identities brainly.in/question/8610240

• all algebraic identities class 9th brainly.in/question/18672278

• Refer to maths book for better understanding. It would give the best results instead of websites

$\sf \color{azure}\fcolorbox{pink}{black}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: @Saanvigrover2007 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

Answer 2

$\large {\textsf {\textbf \red {⟾ \: \: Question \: ✿}}}$

Simplify the following :-

$\sf(a + b + c)(a + b - c)$

$\large {\textsf {\textbf \red {⟾ \: \: Solution \:✿ }}}$

$\blue ⟾ \: \: \sf a(a+b-c)+b(a+b-c)+c(a+b-c)$

$\blue ⟾ \: \: \sf (a^2+ab-ac)+(ab+b^2-bc)+(ac+bc-c^2)$

$\blue ⟾ \: \: \sf a^2+b^2-c^2 + ab + ab + ac - ac + bc - bc$

$\blue ⟾ \: \: \sf a^2+b^2-c^2 + ab + ab +{\cancel ac }- {\cancel ac} +{\cancel bc }- {\cancel bc}$

$\blue ⟾ \: \: \sf a^2+b^2-c^2+2ab$

$\underline{\boxed {\mathfrak \blue {\therefore \: (a+b+c)(a+b-c)=a^2+b^2-c^2+2ab}}}$

$\large {\textsf {\textbf \red {⟾ \: \: Know \: more \: ✿}}}$

$\blue ⟾ \: \: \sf (a+b)^2=a^2+b^2+2ab$

$\blue ⟾ \: \: \sf (a-b)^2=a^2+b^2-2ab$

$\blue ⟾ \: \: \sf (a-b)(a+b)=a^2-b^2$

$\blue ⟾ \: \: \sf (x+a)(x+b)=x^2+( a+ b)x + ab$

$\blue ⟾ \: \: \sf ( {a + b})^{3} =a^3+b^3 + 3ab( a+ b)$

$\blue ⟾ \: \: \sf (a-b)^3 = {a}^{ 3} - {b}^{3} - 3ab(a - b)$

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